Greatest Common Factor of 5147/740, 2554/7805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5147/740, 2554/7805

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 5147/740,2554/7805

Given fractions are 5147/740,2554/7805

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 5147,2554

Greatest Common Factor of Numerators i.e. GCF of 5147,2554 is 1 .

LCM of Denominators means LCM of 740,7805 as per the given fractions.

LCM of 740,7805 is 1155140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5147,2554

GCF of Fractions 5147/740,2554/7805 is 1/1155140

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

Greatest Common Factor of 5147,2554 By Matching Biggest Common Factor Method

Greatest Common Factor of 5147,2554 By Matching Biggest Common Factor Method

Factors of 5147

List of positive integer factors of 5147 that divides 5147 without a remainder.

1,5147

Factors of 2554

List of positive integer factors of 2554 that divides 2554 without a remainder.

1,2,1277,2554

Greatest Common Factor

We found the factors 5147,2554 . The biggest common factor number is the GCF number.
So the greatest common factor 5147,2554 is 1.

Lets's calculate LCM of 740,7805

5 740, 7805
148, 1561

∴ So the LCM of the given numbers is 5 x 148 x 1561 = 1155140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1155140

Therefore, the GCF of Fractions 5147/740,2554/7805 is 1/1155140

Least Common Multiple of 740,7805 with GCF Formula

Least Common Multiple of 740,7805 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 740,7805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,7805) = 5

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

GCF(740,7805) x common factors =5 x 1 = 5

LCM(740,7805) = ( 740 × 7805 ) / 5

LCM(740,7805) = 5775700 / 5

LCM(740,7805) = 1155140


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 5147/740, 2554/7805

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 5147/740, 2554/7805?

Answer: GCF of Numerators as per given numbers 5147/740, 2554/7805 is

GCF of Numerators i.e. for 5147,2554 is 1

LCM of denominators i.e. for 740,7805 is 1155140.

Thus, GCF of Fractions is 1/1155140.Finally, GCF of Fractions for 5147/740, 2554/7805 is 1/1155140.