Math, asked by mayank178987, 1 year ago

HCF of 54 144 and 108​

Answers

Answered by krishna210398
0

Answer:

18

Step-by-step explanation:

Given: numbers 54 144 108

To find: HCF of given number

Solution:

HCF or Highest common factor is the biggest number which can divide the given number with zero as remainder and integer as quotient.

Steps to calculate HCF:-

STEP I

Write the prime factors of the given number.

STEP II

Identify the common factor(s) in all the numbers.

STEP III

Product of the common factors(s) will be the required HCF.

NOW,

Factorising the numbers:

54 = 2 × 3 × 3 × 3

144 = 2 × 2 × 2 × 2 × 3 × 3

108 = 2 × 2 × 3 × 3 × 3

Therefore, Common factors are: 2 × 3 × 3 = 18

Hence, HCF of 54,144,108 is 18

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Answered by gunjanbaidyasl
1

Answer:

The H.C.F of 54, 144 and 108 is 18.

Step-by-step explanation:

To find : H.C.F.(54, 144, 108)

Given numbers are : 54, 144 and 108.

Concept : H.C.F. stands for highest common factor. It gives the highest common factors that divides two or more numbers.

Step-by-step Solution-

Step I : Express 54 as the product of prime numbers;

54 = 3 X 2 X 3 X 3

Step II : Express 144 as the product of prime numbers;

144 = 2 X 2 X 2 X 3 X 3 X 2

Step III : Express 108 as the product of prime numbers;

108 = 2 X 2 X 3 X 3 X 3

Step IV : Find the common factors of the three numbers;

54 = 3 X 2 X 3 X 3

144 = 2 X 2 X 2 X 3 X 3 X 2

108 = 2 X 2 X 3 X 3 X 3

(The factors must be common in all three numbers.)

So, the common factors are 2, 3 and 3.

Step V : Multiply the common factors;

2 X 3 X 3 = 18.

So, the H.C.F of 54, 144 and 108 is 18.

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