Greatest Common Factor of 2500/692, 5798/3876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2500/692, 5798/3876

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 2500/692,5798/3876

Given fractions are 2500/692,5798/3876

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 2500,5798

Greatest Common Factor of Numerators i.e. GCF of 2500,5798 is 2 .

LCM of Denominators means LCM of 692,3876 as per the given fractions.

LCM of 692,3876 is 670548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2500,5798

GCF of Fractions 2500/692,5798/3876 is 2/670548

2 2500, 5798
1250, 2899

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2500,5798 By Matching Biggest Common Factor Method

Greatest Common Factor of 2500,5798 By Matching Biggest Common Factor Method

Factors of 2500

List of positive integer factors of 2500 that divides 2500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500,625,1250,2500

Factors of 5798

List of positive integer factors of 5798 that divides 5798 without a remainder.

1,2,13,26,223,446,2899,5798

Greatest Common Factor

We found the factors 2500,5798 . The biggest common factor number is the GCF number.
So the greatest common factor 2500,5798 is 2.

Lets's calculate LCM of 692,3876

2 692, 3876
2 346, 1938
173, 969

∴ So the LCM of the given numbers is 2 x 2 x 173 x 969 = 670548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/670548

Therefore, the GCF of Fractions 2500/692,5798/3876 is 2/670548

Least Common Multiple of 692,3876 with GCF Formula

Least Common Multiple of 692,3876 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 692,3876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,3876) = 4

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

GCF(692,3876) x common factors =4 x 1 = 4

LCM(692,3876) = ( 692 × 3876 ) / 4

LCM(692,3876) = 2682192 / 4

LCM(692,3876) = 670548


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 2500/692, 5798/3876

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 2500/692, 5798/3876?

Answer: GCF of Numerators as per given numbers 2500/692, 5798/3876 is

GCF of Numerators i.e. for 2500,5798 is 2

LCM of denominators i.e. for 692,3876 is 670548.

Thus, GCF of Fractions is 2/670548.Finally, GCF of Fractions for 2500/692, 5798/3876 is 2/670548.