Greatest Common Factor of 253/71, 464/78, 753/98

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 253/71, 464/78, 753/98

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 253/71,464/78,753/98

Given fractions are 253/71,464/78,753/98

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 253,464,753

Greatest Common Factor of Numerators i.e. GCF of 253,464,753 is 1 .

LCM of Denominators means LCM of 71,78,98 as per the given fractions.

LCM of 71,78,98 is 271362 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 253,464,753

GCF of Fractions 253/71,464/78,753/98 is 1/271362

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

Greatest Common Factor of 253,464,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,464,753 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 253,464,753 . The biggest common factor number is the GCF number.
So the greatest common factor 253,464,753 is 1.

Lets's calculate LCM of 71,78,98

2 71, 78, 98
71, 39, 49

∴ So the LCM of the given numbers is 2 x 71 x 39 x 49 = 271362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271362

Therefore, the GCF of Fractions 253/71,464/78,753/98 is 1/271362

Least Common Multiple of 71,78,98 with GCF Formula

Least Common Multiple of 71,78,98 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 71,78,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,78,98) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(71,78,98) x common factors =1 x 2 = 2

LCM(71,78,98) = ( 71 × 78 × 98 ) / 2

LCM(71,78,98) = 542724 / 2

LCM(71,78,98) = 271362


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 253/71, 464/78, 753/98

1. 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.

2. What is the GCF of Fractions for 253/71, 464/78, 753/98?

Answer: GCF of Numerators as per given numbers 253/71, 464/78, 753/98 is

GCF of Numerators i.e. for 253,464,753 is 1

LCM of denominators i.e. for 71,78,98 is 271362.

Thus, GCF of Fractions is 1/271362.Finally, GCF of Fractions for 253/71, 464/78, 753/98 is 1/271362.