Question

The product of two number is 864 of tk
Their Lcm is 72 what Hcf

Answer 1

Answer:

72

Step-by-step explanation:

write 864 as a product of prime factor

864=2x2x2x2x2x3x3x3

write the prime factor as a product of 2 mutiples of 12

(2x2x2x3) x (2x2x3x3) =24x36

Mutiply the common pairs of prime factors from the rackets gives the hcf

HCF= 2x2x3=12 (2 is common twice and 3 is common once)

Multipy all the prime factors from the first brackets and any extras from the second bracket gives the lmc(there is an extra 3 in the second bracket)

Lcm=2x2x2x3x3=72

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Answer 2

Answer:

product of two numbers=864

LCM=72

LCM*HCF=Product of two numbers

HCF=product of two numbers/LCM

= 864/72

=12