Greatest Common Factor of 6200/126, 8992/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6200/126, 8992/253

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 6200/126,8992/253

Given fractions are 6200/126,8992/253

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 6200,8992

Greatest Common Factor of Numerators i.e. GCF of 6200,8992 is 8 .

LCM of Denominators means LCM of 126,253 as per the given fractions.

LCM of 126,253 is 31878 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6200,8992

GCF of Fractions 6200/126,8992/253 is 8/31878

2 6200, 8992
2 3100, 4496
2 1550, 2248
775, 1124

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 6200,8992 By Matching Biggest Common Factor Method

Greatest Common Factor of 6200,8992 By Matching Biggest Common Factor Method

Factors of 6200

List of positive integer factors of 6200 that divides 6200 without a remainder.

1,2,4,5,8,10,20,25,31,40,50,62,100,124,155,200,248,310,620,775,1240,1550,3100,6200

Factors of 8992

List of positive integer factors of 8992 that divides 8992 without a remainder.

1,2,4,8,16,32,281,562,1124,2248,4496,8992

Greatest Common Factor

We found the factors 6200,8992 . The biggest common factor number is the GCF number.
So the greatest common factor 6200,8992 is 8.

Lets's calculate LCM of 126,253

Given numbers has no common factors except 1. So, there LCM is their product i.e 31878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/31878

Therefore, the GCF of Fractions 6200/126,8992/253 is 8/31878

Least Common Multiple of 126,253 with GCF Formula

Least Common Multiple of 126,253 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 126,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,253) = 1

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

GCF(126,253) x common factors =1 x 1 = 1

LCM(126,253) = ( 126 × 253 ) / 1

LCM(126,253) = 31878 / 1

LCM(126,253) = 31878


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 6200/126, 8992/253

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 6200/126, 8992/253?

Answer: GCF of Numerators as per given numbers 6200/126, 8992/253 is

GCF of Numerators i.e. for 6200,8992 is 8

LCM of denominators i.e. for 126,253 is 31878.

Thus, GCF of Fractions is 8/31878.Finally, GCF of Fractions for 6200/126, 8992/253 is 8/31878.