Question

The product of two number is 600 their LCM is 60 find there HCF .

Answer 1

Answer:

Ans:10

Step-by-step explanation:

Product of two numbers = LCM * HCF

600 = 60 * hcf

600/60 = hcf

10 = HCF

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Answer 2

Answer:

$\red\bigstar$ HCF of the two numbers = 10.

✳SOLUTION✳

LCM of the Two Numbers = 60

Product of the Two Numbers = 600

HCF of the Two Numbers = ?

We know that ,

HCF × LCM = Product of the given numbers $\longrightarrow$(1)

On Substituting in (1),

LCM =  60

Product of the given numbers = 600

HCF × 60 = 600

HCF = 600/60

HCF = 10

Verification

We can verify if the answer is correct by substituting in (1) ,

HCF = 10

LCM =  60

Product of the given numbers = 600

$\implies$

10 × 60 = 600

$\implies$

600 = 600

∵ LHS = RHS ,Hence Verified that our answer is correct