Greatest Common Factor of 7757/50, 9629/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7757/50, 9629/278

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 7757/50,9629/278

Given fractions are 7757/50,9629/278

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 7757,9629

Greatest Common Factor of Numerators i.e. GCF of 7757,9629 is 1 .

LCM of Denominators means LCM of 50,278 as per the given fractions.

LCM of 50,278 is 6950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7757,9629

GCF of Fractions 7757/50,9629/278 is 1/6950

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

Greatest Common Factor of 7757,9629 By Matching Biggest Common Factor Method

Greatest Common Factor of 7757,9629 By Matching Biggest Common Factor Method

Factors of 7757

List of positive integer factors of 7757 that divides 7757 without a remainder.

1,7757

Factors of 9629

List of positive integer factors of 9629 that divides 9629 without a remainder.

1,9629

Greatest Common Factor

We found the factors 7757,9629 . The biggest common factor number is the GCF number.
So the greatest common factor 7757,9629 is 1.

Lets's calculate LCM of 50,278

2 50, 278
25, 139

∴ So the LCM of the given numbers is 2 x 25 x 139 = 6950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6950

Therefore, the GCF of Fractions 7757/50,9629/278 is 1/6950

Least Common Multiple of 50,278 with GCF Formula

Least Common Multiple of 50,278 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 50,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,278) = 2

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

GCF(50,278) x common factors =2 x 1 = 2

LCM(50,278) = ( 50 × 278 ) / 2

LCM(50,278) = 13900 / 2

LCM(50,278) = 6950


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 7757/50, 9629/278

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 7757/50, 9629/278?

Answer: GCF of Numerators as per given numbers 7757/50, 9629/278 is

GCF of Numerators i.e. for 7757,9629 is 1

LCM of denominators i.e. for 50,278 is 6950.

Thus, GCF of Fractions is 1/6950.Finally, GCF of Fractions for 7757/50, 9629/278 is 1/6950.