Question

Question 2: Find the HCF of two numbers if LCM and product of those two numbers are 45 and 675 respectively ?​

Answer 1

Answer:

Step-by-step explanation:

Given

LCM=45

product=675

but, LCM*HCF=product of 2 numbers

HCF=675/45

=15

Answer 2

The HCF of the two numbers = 15

Given :

LCM and product of those two numbers are 45 and 675 respectively

To find :

The HCF of two numbers

Concept :

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

Relation between HCF and LCM :

HCF × LCM = Product of the numbers

Solution :

Step 1 of 2 :

Write down LCM and product of two numbers

Here it is given that LCM and product of those two numbers are 45 and 675 respectively

Step 2 of 2 :

Find the HCF of two numbers

We know that

HCF × LCM = Product of the numbers

$\displaystyle \sf{ \implies HCF \times 45 = 675}$

$\displaystyle \sf{ \implies HCF = \frac{675 }{45} }$

$\displaystyle \sf{ \implies HCF = 15 }$

Hence HCF of the two numbers = 15

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