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AP Board Class 6 Maths Chapter 3 HCF and LCM Ex 3.7 Textbook Solutions PDF: Download Andhra Pradesh Board STD 6th Maths Chapter 3 HCF and LCM Ex 3.7 Book Answers

AP Board Class 6th Maths Chapter 3 HCF and LCM Ex 3.7 Textbooks Solutions and answers for students are now available in pdf format. Andhra Pradesh Board Class 6th Maths Chapter 3 HCF and LCM Ex 3.7 Book answers and solutions are one of the most important study materials for any student. The Andhra Pradesh State Board Class 6th Maths Chapter 3 HCF and LCM Ex 3.7 books are published by the Andhra Pradesh Board Publishers. These Andhra Pradesh Board Class 6th Maths Chapter 3 HCF and LCM Ex 3.7 textbooks are prepared by a group of expert faculty members. Students can download these AP Board STD 6th Maths Chapter 3 HCF and LCM Ex 3.7 book solutions pdf online from this page.

Andhra Pradesh Board Class 6th Maths Chapter 3 HCF and LCM Ex 3.7 Textbooks Solutions PDF

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Andhra Pradesh State Board Class 6th Maths Chapter 3 HCF and LCM Ex 3.7 Books Solutions

Board	AP Board
Materials	Textbook Solutions/Guide
Format	DOC/PDF
Class	6th
Subject	Maths
Chapters	Maths Chapter 3 HCF and LCM Ex 3.7
Provider	Hsslive

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AP Board Class 6th Maths Chapter 3 HCF and LCM Ex 3.7 Textbooks Solutions with Answer PDF Download

Find below the list of all AP Board Class 6th Maths Chapter 3 HCF and LCM Ex 3.7 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:

Question 1.
Find the LCM and HCF of the following numbers and check their relationship.
i) 15, 24
ii) 8, 25
iii) 12, 48
iv) 30, 48
Answer:
i) 15,24
The given numbers are 15 and 24.

LCM of 15 and 24 = 2 × 2 × 2 × 3 × 5 = 120
HCF of 15 and 24 = 3
Now, LCM × HCF = 120 × 3 = 360
Product of two numbers = 15 × 24 = 360,
∴ LCM × HCF = Product of the numbers.

ii) 8,25
The given numbers are 8 and 25.

LCM of 8 and 25 = 2 × 2 × 2 × 5 × 5 = 200
HCF of 8 and 25 = 1
Now LCM × HCF = 200 × 1 = 200
Product of two numbers = 8 × 25 = 200
∴ LCM × HCF = Product of the numbers

iii) 12, 48
The given numbers are 12 and 48.

LCM of 12 and 48 = 2 × 2 × 2 × 2 × 3 = 48
HCF of 12 and 48 = 12
Now LCM × HCF = 48 × 12 = 576
Product of two numbers = 12 × 48 = 576
∴ LCM × HCF = Product of the numbers

iv) 30, 48
Given numbers are 30 and 48.

LCM of 30 and 48 = 2 × 2 × 2 × 2 × 3 × 5 = 240
HCF of 30 and 48 = 6
LCM × HCF = 240 × 6 = 1440
Product of the numbers = 30 × 48 = 1440
∴ LCM × HCF = Product of the numbers.

Question 2.
If the LCM of two numbers is 290 and their product is 7250, what will be its HCF?
Answer:
Given LCM of two numbers = 290
Product of two numbers = 7250
HCF of two numbers = ?
We know that, LCM × HCF = Product of two numbers
290 × HCF = 7250
HCF = 7250290 = 25
∴ HCF of two numbers = 25

Question 3.
The product of two numbers is 3276. If their HCF is 6, find their LCM.
Answer:
Given HCF of two numbers = 6
Product of two numbers = 3276
LCM of two numbers = ?
We know that, LCM × HCF = Product of two numbers
LCM × 6 = 3276
LCM = 32766 = 546
∴ LCM of two numbers = 546

Question 4.
The HCF of two numbers is 6 and their LCM is 36. If one of the numbers is 12, find the other.
Answer:
Given LCM of two numbers = 36
HCF of two numbers = 6
One of the numbers a = 12
Let second number b = ?
We know that, product of two numbers = LCM × HCF
a × b = LCM × HCF
12 × b = 36 × 6
b = 36×612 = 18
∴ Second number b = 18

Question 5.
Can two numbers have 16 as their HCF and 384 as their LCM? Give reason.
Answer:
Here, if we divide 384 by 16
38416 = 24 (No remainder)
If HCF is the factor LCM of two numbers, then it is possible.

Question 6.
Can two numbers have 14 as their HCF and 204 as their LCM? Give reasons in support of your answer.
Answer:
Here, if we divide 204 by 14
20414 = 14 and the remainder is 8.
HCF is not the factor of LCM to two numbers. So, it is not possible.

AP Board Textbook Solutions PDF for Class 6th Maths

Andhra Pradesh Board Class 6th Maths Chapter 3 HCF and LCM Ex 3.7 Textbooks for Exam Preparations

Andhra Pradesh Board Class 6th Maths Chapter 3 HCF and LCM Ex 3.7 Textbook Solutions can be of great help in your Andhra Pradesh Board Class 6th Maths Chapter 3 HCF and LCM Ex 3.7 exam preparation. The AP Board STD 6th Maths Chapter 3 HCF and LCM Ex 3.7 Textbooks study material, used with the English medium textbooks, can help you complete the entire Class 6th Maths Chapter 3 HCF and LCM Ex 3.7 Books State Board syllabus with maximum efficiency.

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