Greatest Common Factor of 6940/515, 1300/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6940/515, 1300/278

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 6940/515,1300/278

Given fractions are 6940/515,1300/278

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 6940,1300

Greatest Common Factor of Numerators i.e. GCF of 6940,1300 is 20 .

LCM of Denominators means LCM of 515,278 as per the given fractions.

LCM of 515,278 is 143170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6940,1300

GCF of Fractions 6940/515,1300/278 is 20/143170

2 6940, 1300
2 3470, 650
5 1735, 325
347, 65

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 6940,1300 By Matching Biggest Common Factor Method

Greatest Common Factor of 6940,1300 By Matching Biggest Common Factor Method

Factors of 6940

List of positive integer factors of 6940 that divides 6940 without a remainder.

1,2,4,5,10,20,347,694,1388,1735,3470,6940

Factors of 1300

List of positive integer factors of 1300 that divides 1300 without a remainder.

1,2,4,5,10,13,20,25,26,50,52,65,100,130,260,325,650,1300

Greatest Common Factor

We found the factors 6940,1300 . The biggest common factor number is the GCF number.
So the greatest common factor 6940,1300 is 20.

Lets's calculate LCM of 515,278

Given numbers has no common factors except 1. So, there LCM is their product i.e 143170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/143170

Therefore, the GCF of Fractions 6940/515,1300/278 is 20/143170

Least Common Multiple of 515,278 with GCF Formula

Least Common Multiple of 515,278 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 515,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,278) = 1

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

GCF(515,278) x common factors =1 x 1 = 1

LCM(515,278) = ( 515 × 278 ) / 1

LCM(515,278) = 143170 / 1

LCM(515,278) = 143170


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 6940/515, 1300/278

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 6940/515, 1300/278?

Answer: GCF of Numerators as per given numbers 6940/515, 1300/278 is

GCF of Numerators i.e. for 6940,1300 is 20

LCM of denominators i.e. for 515,278 is 143170.

Thus, GCF of Fractions is 20/143170.Finally, GCF of Fractions for 6940/515, 1300/278 is 20/143170.