Question 1 (b)

Find the HCF of the following numbers:
30, 42

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Solution

HCF of two or more number is the highest number which divides the given numbers exactly.
Factors of 30 = $2 \times 3 \times 5$
Factors of 42 = $2 \times 3 \times 7$
HCF of 30, 42 = $2 \times 3 = 6$

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Question 26
Which of the following statements is not true?

(A) The HCF of two distinct prime numbers is 1
(B) The HCF of two co-prime numbers is 1
(C) The HCF of two consecutive even numbers is 2
(D) The HCF of an even and an odd number is even.

$1.$ What is the HCF of two consecutive
(a) Numbers?
(b) Even numbers?
(c) Odd numbers?

$2.$ Find the HCF of the following :
$8$ and $12$

Q. Question 2 (ii)
Find the LCM and HCF of the following pairs of integers and verify that LCM

\times

HCF = product of the two numbers.
510 and 92

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Question 1 (b) Find the HCF of the following numbers: 30, 42

HCF of two or more number is the highest number which divides the given numbers exactly. Factors of 30 = 2×3×5 Factors of 42 = 2×3×7 HCF of 30, 42 = 2×3=6

Question 1 (b)

Find the HCF of the following numbers:
30, 42

HCF of two or more number is the highest number which divides the given numbers exactly.
Factors of 30 = $2 \times 3 \times 5$
Factors of 42 = $2 \times 3 \times 7$
HCF of 30, 42 = $2 \times 3 = 6$