Greatest Common Factor of 7751/76, 6138/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7751/76, 6138/650

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 7751/76,6138/650

Given fractions are 7751/76,6138/650

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 7751,6138

Greatest Common Factor of Numerators i.e. GCF of 7751,6138 is 1 .

LCM of Denominators means LCM of 76,650 as per the given fractions.

LCM of 76,650 is 24700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7751,6138

GCF of Fractions 7751/76,6138/650 is 1/24700

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

Greatest Common Factor of 7751,6138 By Matching Biggest Common Factor Method

Greatest Common Factor of 7751,6138 By Matching Biggest Common Factor Method

Factors of 7751

List of positive integer factors of 7751 that divides 7751 without a remainder.

1,23,337,7751

Factors of 6138

List of positive integer factors of 6138 that divides 6138 without a remainder.

1,2,3,6,9,11,18,22,31,33,62,66,93,99,186,198,279,341,558,682,1023,2046,3069,6138

Greatest Common Factor

We found the factors 7751,6138 . The biggest common factor number is the GCF number.
So the greatest common factor 7751,6138 is 1.

Lets's calculate LCM of 76,650

2 76, 650
38, 325

∴ So the LCM of the given numbers is 2 x 38 x 325 = 24700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24700

Therefore, the GCF of Fractions 7751/76,6138/650 is 1/24700

Least Common Multiple of 76,650 with GCF Formula

Least Common Multiple of 76,650 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 76,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,650) = 2

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

GCF(76,650) x common factors =2 x 1 = 2

LCM(76,650) = ( 76 × 650 ) / 2

LCM(76,650) = 49400 / 2

LCM(76,650) = 24700


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 7751/76, 6138/650

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 7751/76, 6138/650?

Answer: GCF of Numerators as per given numbers 7751/76, 6138/650 is

GCF of Numerators i.e. for 7751,6138 is 1

LCM of denominators i.e. for 76,650 is 24700.

Thus, GCF of Fractions is 1/24700.Finally, GCF of Fractions for 7751/76, 6138/650 is 1/24700.