Question

the LCM of two numbers is 60. if the product of the two numbers is 180, find their hcf

Answer 1

Answer:

3

Step-by-step explanation:

we know that

product of two numbers =LCM× HCF

given

LCM=60

product of two numbers=180

HCF=? (x. say)

60× X = 180.

implies. X = 180/60=3

Answer 2

Answer:

HCF of two numbers = 3

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Step-by-step explanation:

$\maltese \: \: \underline{\bold{Given \: :}}$

• LCM of two numbers = 60

• Product of two numbers = 180

$\maltese \: \: \underline{\bold{To \: Find \: :}}$

• HCF of two numbers = ?

$\maltese \: \: \underline{\bold{Solution \: :}}$

We know that

Product of two numbers = LCM of two numbers × HCF of two numbers

According to the Question,

180 = 60 × HCF of two numbers

⇒ $\frac{180}{60}$ = HCF of two numbers

⇒ 3 = HCF of two numbers

⇒ HCF of two numbers = 3

∴ HCF of two numbers = 3