Greatest Common Factor of 8444/88, 6200/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 8444/88, 6200/997

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 8444/88,6200/997

Given fractions are 8444/88,6200/997

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 8444,6200

Greatest Common Factor of Numerators i.e. GCF of 8444,6200 is 4 .

LCM of Denominators means LCM of 88,997 as per the given fractions.

LCM of 88,997 is 87736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8444,6200

GCF of Fractions 8444/88,6200/997 is 4/87736

2 8444, 6200
2 4222, 3100
2111, 1550

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8444,6200 By Matching Biggest Common Factor Method

Greatest Common Factor of 8444,6200 By Matching Biggest Common Factor Method

Factors of 8444

List of positive integer factors of 8444 that divides 8444 without a remainder.

1,2,4,2111,4222,8444

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

Greatest Common Factor

We found the factors 8444,6200 . The biggest common factor number is the GCF number.
So the greatest common factor 8444,6200 is 4.


Lets's calculate LCM of 88,997

Given numbers has no common factors except 1. So, there LCM is their product i.e 87736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/87736

Therefore, the GCF of Fractions 8444/88,6200/997 is 4/87736

Least Common Multiple of 88,997 with GCF Formula

Least Common Multiple of 88,997 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 88,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,997) = 1

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

GCF(88,997) x common factors =1 x 1 = 1

LCM(88,997) = ( 88 × 997 ) / 1

LCM(88,997) = 87736 / 1

LCM(88,997) = 87736


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 8444/88, 6200/997

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 8444/88, 6200/997?

Answer: GCF of Numerators as per given numbers 8444/88, 6200/997 is

GCF of Numerators i.e. for 8444,6200 is 4

LCM of denominators i.e. for 88,997 is 87736.

Thus, GCF of Fractions is 4/87736.Finally, GCF of Fractions for 8444/88, 6200/997 is 4/87736.