Question

how to find hcf when you are given two numbers and their lcm

Answer 1

HCF x LCM = the product of two no.

Answer 2

Answer:

FINDING HCF :

LONG DIVISION METHOD

first when 2 numbers are given we should check what is smaller number then we should divide the large number with the small number

Ex : Find hcf of 12,36

here small number is 12 so we should divide 36 with 12

12 ) 36 ( 3

-36

------

0

------

so 12 is the HCF of 12,36 .....

FINDING LCM :

PRIME FACTORIZATION METHOD

first when 2 numbers are given we no need to find smaller and larger numbers what we have to do is

Ex : Find Lcm of 12,36

here it is PRIME FACTORIZATION method so

2 | 12,36

2 | 6,18

2 | 3,9

3 | 1,3

3 | 1,1

now we have to multiply all the prime factors

2×2×2×3×3

4×2×9

8×9

72 ....

so 72 is LCM of 12,36..

AND RELATION OF HCF AND LCM

HCF × LCM = PRODUCT OF 2 NUMBERS..

Step-by-step explanation:

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