Greatest Common Factor of 7851/50, 6948/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7851/50, 6948/781

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 7851/50,6948/781

Given fractions are 7851/50,6948/781

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 7851,6948

Greatest Common Factor of Numerators i.e. GCF of 7851,6948 is 3 .

LCM of Denominators means LCM of 50,781 as per the given fractions.

LCM of 50,781 is 39050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7851,6948

GCF of Fractions 7851/50,6948/781 is 3/39050

3 7851, 6948
2617, 2316

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7851,6948 By Matching Biggest Common Factor Method

Greatest Common Factor of 7851,6948 By Matching Biggest Common Factor Method

Factors of 7851

List of positive integer factors of 7851 that divides 7851 without a remainder.

1,3,2617,7851

Factors of 6948

List of positive integer factors of 6948 that divides 6948 without a remainder.

1,2,3,4,6,9,12,18,36,193,386,579,772,1158,1737,2316,3474,6948

Greatest Common Factor

We found the factors 7851,6948 . The biggest common factor number is the GCF number.
So the greatest common factor 7851,6948 is 3.

Lets's calculate LCM of 50,781

Given numbers has no common factors except 1. So, there LCM is their product i.e 39050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/39050

Therefore, the GCF of Fractions 7851/50,6948/781 is 3/39050

Least Common Multiple of 50,781 with GCF Formula

Least Common Multiple of 50,781 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 50,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,781) = 1

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

GCF(50,781) x common factors =1 x 1 = 1

LCM(50,781) = ( 50 × 781 ) / 1

LCM(50,781) = 39050 / 1

LCM(50,781) = 39050


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 7851/50, 6948/781

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 7851/50, 6948/781?

Answer: GCF of Numerators as per given numbers 7851/50, 6948/781 is

GCF of Numerators i.e. for 7851,6948 is 3

LCM of denominators i.e. for 50,781 is 39050.

Thus, GCF of Fractions is 3/39050.Finally, GCF of Fractions for 7851/50, 6948/781 is 3/39050.