Greatest Common Factor of 2129/320, 3902/7757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2129/320, 3902/7757

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 2129/320,3902/7757

Given fractions are 2129/320,3902/7757

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 2129,3902

Greatest Common Factor of Numerators i.e. GCF of 2129,3902 is 1 .

LCM of Denominators means LCM of 320,7757 as per the given fractions.

LCM of 320,7757 is 2482240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2129,3902

GCF of Fractions 2129/320,3902/7757 is 1/2482240

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

Greatest Common Factor of 2129,3902 By Matching Biggest Common Factor Method

Greatest Common Factor of 2129,3902 By Matching Biggest Common Factor Method

Factors of 2129

List of positive integer factors of 2129 that divides 2129 without a remainder.

1,2129

Factors of 3902

List of positive integer factors of 3902 that divides 3902 without a remainder.

1,2,1951,3902

Greatest Common Factor

We found the factors 2129,3902 . The biggest common factor number is the GCF number.
So the greatest common factor 2129,3902 is 1.

Lets's calculate LCM of 320,7757

Given numbers has no common factors except 1. So, there LCM is their product i.e 2482240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2482240

Therefore, the GCF of Fractions 2129/320,3902/7757 is 1/2482240

Least Common Multiple of 320,7757 with GCF Formula

Least Common Multiple of 320,7757 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 320,7757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,7757) = 1

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

GCF(320,7757) x common factors =1 x 1 = 1

LCM(320,7757) = ( 320 × 7757 ) / 1

LCM(320,7757) = 2482240 / 1

LCM(320,7757) = 2482240


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 2129/320, 3902/7757

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 2129/320, 3902/7757?

Answer: GCF of Numerators as per given numbers 2129/320, 3902/7757 is

GCF of Numerators i.e. for 2129,3902 is 1

LCM of denominators i.e. for 320,7757 is 2482240.

Thus, GCF of Fractions is 1/2482240.Finally, GCF of Fractions for 2129/320, 3902/7757 is 1/2482240.