Greatest Common Factor of 9876/120, 2251/7566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9876/120, 2251/7566

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 9876/120,2251/7566

Given fractions are 9876/120,2251/7566

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 9876,2251

Greatest Common Factor of Numerators i.e. GCF of 9876,2251 is 1 .

LCM of Denominators means LCM of 120,7566 as per the given fractions.

LCM of 120,7566 is 151320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9876,2251

GCF of Fractions 9876/120,2251/7566 is 1/151320

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

Greatest Common Factor of 9876,2251 By Matching Biggest Common Factor Method

Greatest Common Factor of 9876,2251 By Matching Biggest Common Factor Method

Factors of 9876

List of positive integer factors of 9876 that divides 9876 without a remainder.

1,2,3,4,6,12,823,1646,2469,3292,4938,9876

Factors of 2251

List of positive integer factors of 2251 that divides 2251 without a remainder.

1,2251

Greatest Common Factor

We found the factors 9876,2251 . The biggest common factor number is the GCF number.
So the greatest common factor 9876,2251 is 1.

Lets's calculate LCM of 120,7566

2 120, 7566
3 60, 3783
20, 1261

∴ So the LCM of the given numbers is 2 x 3 x 20 x 1261 = 151320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151320

Therefore, the GCF of Fractions 9876/120,2251/7566 is 1/151320

Least Common Multiple of 120,7566 with GCF Formula

Least Common Multiple of 120,7566 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 120,7566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,7566) = 6

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

GCF(120,7566) x common factors =6 x 1 = 6

LCM(120,7566) = ( 120 × 7566 ) / 6

LCM(120,7566) = 907920 / 6

LCM(120,7566) = 151320


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 9876/120, 2251/7566

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 9876/120, 2251/7566?

Answer: GCF of Numerators as per given numbers 9876/120, 2251/7566 is

GCF of Numerators i.e. for 9876,2251 is 1

LCM of denominators i.e. for 120,7566 is 151320.

Thus, GCF of Fractions is 1/151320.Finally, GCF of Fractions for 9876/120, 2251/7566 is 1/151320.