Greatest Common Factor of 4994/295, 2128/5280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4994/295, 2128/5280

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 4994/295,2128/5280

Given fractions are 4994/295,2128/5280

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 4994,2128

Greatest Common Factor of Numerators i.e. GCF of 4994,2128 is 2 .

LCM of Denominators means LCM of 295,5280 as per the given fractions.

LCM of 295,5280 is 311520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4994,2128

GCF of Fractions 4994/295,2128/5280 is 2/311520

2 4994, 2128
2497, 1064

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4994,2128 By Matching Biggest Common Factor Method

Greatest Common Factor of 4994,2128 By Matching Biggest Common Factor Method

Factors of 4994

List of positive integer factors of 4994 that divides 4994 without a remainder.

1,2,11,22,227,454,2497,4994

Factors of 2128

List of positive integer factors of 2128 that divides 2128 without a remainder.

1,2,4,7,8,14,16,19,28,38,56,76,112,133,152,266,304,532,1064,2128

Greatest Common Factor

We found the factors 4994,2128 . The biggest common factor number is the GCF number.
So the greatest common factor 4994,2128 is 2.

Lets's calculate LCM of 295,5280

5 295, 5280
59, 1056

∴ So the LCM of the given numbers is 5 x 59 x 1056 = 311520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/311520

Therefore, the GCF of Fractions 4994/295,2128/5280 is 2/311520

Least Common Multiple of 295,5280 with GCF Formula

Least Common Multiple of 295,5280 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 295,5280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,5280) = 5

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

GCF(295,5280) x common factors =5 x 1 = 5

LCM(295,5280) = ( 295 × 5280 ) / 5

LCM(295,5280) = 1557600 / 5

LCM(295,5280) = 311520


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 4994/295, 2128/5280

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 4994/295, 2128/5280?

Answer: GCF of Numerators as per given numbers 4994/295, 2128/5280 is

GCF of Numerators i.e. for 4994,2128 is 2

LCM of denominators i.e. for 295,5280 is 311520.

Thus, GCF of Fractions is 2/311520.Finally, GCF of Fractions for 4994/295, 2128/5280 is 2/311520.