Question

the product of two number is 1134 and the lcm is 126?find HCF

Answer 1

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formula :-




$product \: of \: two \: numbers \: = lcm \times hcf \\ \\ 1134 \: \: = \: 126 \: \: \times hcf \\ \\ hcf = 1134 \div 126 \\ \\ hcf \: = 9$

Answer 2

The HCF of two number is 9

Given :

The product of two number is 1134 and the LCM is 126

To find :

The HCF of two number

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 product of two number is 1134 and the LCM is 126

Step 2 of 2 :

Find the HCF

We know that

HCF × LCM = Product of the numbers

⇒ HCF × 126 = 1134

⇒ HCF = 1134/126

⇒ HCF = 9

The HCF of two number is 9

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