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GCF of 918/78, 253/132

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 918/78, 253/132 i.e 1/1716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 918/78, 253/132.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 918/78,253/132?

Given fractions are 918/78,253/132

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 918/78,253/132, numerators are 918,253

Denominators are 78,132

The GCF of 918,253 is 1 .

LCM of 78,132 is 1716.

The greatest common factor of 918/78,253/132 = [GCF of 918,253]/[LCM of 78,132]= 1/1716

Therefore, the GCF of 918/78,253/132 is 1/1716.

Greatest Common Factor of 918,253

To find the highest common factor of 918,253, we have to find the factors of both numbers and list the highest common factor.

The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

The factors of 253 are 1, 11, 23, 253

The HCF of 918,253 is 1.

Lets's calculate GCF of 918,253

Greatest Common Factor (GCF) of 918,253 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 918,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,253 By Matching Biggest Common Factor Method

Now, list down the factors of 918

:

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Now, list down the factors of 253

:

1,11,23,253

Greatest Common Factor

We found the factors 918,253 . The biggest common factor number is the GCF number.
So the greatest common factor 918,253 is 1.

Lets's calculate LCM of 78,132

Lowest Common Multiple of 78,132 using Common Division

2 78, 132
3 39, 66
13, 22

∴ So the LCM of the given numbers is 2 x 3 x 13 x 22 = 1716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1716

Therefore, the GCF of Fractions 918/78,253/132 is 1/1716

Least Common Multiple of 78,132 with GCF Formula

Least Common Multiple of 78,132 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 78,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,132) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(78,132) x common factors =6 x 1 = 6

LCM(78,132) = ( 78 × 132 ) / 6

LCM(78,132) = 10296 / 6

LCM(78,132) = 1716


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FAQs on GCF of Fractions of 918/78, 253/132

1. What is the HCF of 918,253?

The HCF of 918,253 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 918/78, 253/132?

Answer: GCF of Numerators as per given numbers 918/78, 253/132 is

GCF of Numerators i.e. for 918,253 is 1

LCM of denominators i.e. for 78,132 is 1716.

Thus, GCF of Fractions is 1/1716.Finally, GCF of Fractions for 918/78, 253/132 is 1/1716.