Greatest Common Factor of 5018/29, 7520/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5018/29, 7520/251

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 5018/29,7520/251

Given fractions are 5018/29,7520/251

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 5018,7520

Greatest Common Factor of Numerators i.e. GCF of 5018,7520 is 2 .

LCM of Denominators means LCM of 29,251 as per the given fractions.

LCM of 29,251 is 7279 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5018,7520

GCF of Fractions 5018/29,7520/251 is 2/7279

2 5018, 7520
2509, 3760

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

Greatest Common Factor of 5018,7520 By Matching Biggest Common Factor Method

Greatest Common Factor of 5018,7520 By Matching Biggest Common Factor Method

Factors of 5018

List of positive integer factors of 5018 that divides 5018 without a remainder.

1,2,13,26,193,386,2509,5018

Factors of 7520

List of positive integer factors of 7520 that divides 7520 without a remainder.

1,2,4,5,8,10,16,20,32,40,47,80,94,160,188,235,376,470,752,940,1504,1880,3760,7520

Greatest Common Factor

We found the factors 5018,7520 . The biggest common factor number is the GCF number.
So the greatest common factor 5018,7520 is 2.

Lets's calculate LCM of 29,251

Given numbers has no common factors except 1. So, there LCM is their product i.e 7279

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7279

Therefore, the GCF of Fractions 5018/29,7520/251 is 2/7279

Least Common Multiple of 29,251 with GCF Formula

Least Common Multiple of 29,251 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 29,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,251) = 1

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

GCF(29,251) x common factors =1 x 1 = 1

LCM(29,251) = ( 29 × 251 ) / 1

LCM(29,251) = 7279 / 1

LCM(29,251) = 7279


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 5018/29, 7520/251

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 5018/29, 7520/251?

Answer: GCF of Numerators as per given numbers 5018/29, 7520/251 is

GCF of Numerators i.e. for 5018,7520 is 2

LCM of denominators i.e. for 29,251 is 7279.

Thus, GCF of Fractions is 2/7279.Finally, GCF of Fractions for 5018/29, 7520/251 is 2/7279.