Greatest Common Factor of 4930/54, 5134/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4930/54, 5134/920

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 4930/54,5134/920

Given fractions are 4930/54,5134/920

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 4930,5134

Greatest Common Factor of Numerators i.e. GCF of 4930,5134 is 34 .

LCM of Denominators means LCM of 54,920 as per the given fractions.

LCM of 54,920 is 24840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4930,5134

GCF of Fractions 4930/54,5134/920 is 34/24840

2 4930, 5134
17 2465, 2567
145, 151

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 4930,5134 By Matching Biggest Common Factor Method

Greatest Common Factor of 4930,5134 By Matching Biggest Common Factor Method

Factors of 4930

List of positive integer factors of 4930 that divides 4930 without a remainder.

1,2,5,10,17,29,34,58,85,145,170,290,493,986,2465,4930

Factors of 5134

List of positive integer factors of 5134 that divides 5134 without a remainder.

1,2,17,34,151,302,2567,5134

Greatest Common Factor

We found the factors 4930,5134 . The biggest common factor number is the GCF number.
So the greatest common factor 4930,5134 is 34.

Lets's calculate LCM of 54,920

2 54, 920
27, 460

∴ So the LCM of the given numbers is 2 x 27 x 460 = 24840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/24840

Therefore, the GCF of Fractions 4930/54,5134/920 is 34/24840

Least Common Multiple of 54,920 with GCF Formula

Least Common Multiple of 54,920 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 54,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,920) = 2

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

GCF(54,920) x common factors =2 x 1 = 2

LCM(54,920) = ( 54 × 920 ) / 2

LCM(54,920) = 49680 / 2

LCM(54,920) = 24840


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4930/54, 5134/920

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 4930/54, 5134/920?

Answer: GCF of Numerators as per given numbers 4930/54, 5134/920 is

GCF of Numerators i.e. for 4930,5134 is 34

LCM of denominators i.e. for 54,920 is 24840.

Thus, GCF of Fractions is 34/24840.Finally, GCF of Fractions for 4930/54, 5134/920 is 34/24840.