Greatest Common Factor of 8584/26, 7502/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8584/26, 7502/989

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 8584/26,7502/989

Given fractions are 8584/26,7502/989

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 8584,7502

Greatest Common Factor of Numerators i.e. GCF of 8584,7502 is 2 .

LCM of Denominators means LCM of 26,989 as per the given fractions.

LCM of 26,989 is 25714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8584,7502

GCF of Fractions 8584/26,7502/989 is 2/25714

2 8584, 7502
4292, 3751

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

Greatest Common Factor of 8584,7502 By Matching Biggest Common Factor Method

Greatest Common Factor of 8584,7502 By Matching Biggest Common Factor Method

Factors of 8584

List of positive integer factors of 8584 that divides 8584 without a remainder.

1,2,4,8,29,37,58,74,116,148,232,296,1073,2146,4292,8584

Factors of 7502

List of positive integer factors of 7502 that divides 7502 without a remainder.

1,2,11,22,31,62,121,242,341,682,3751,7502

Greatest Common Factor

We found the factors 8584,7502 . The biggest common factor number is the GCF number.
So the greatest common factor 8584,7502 is 2.

Lets's calculate LCM of 26,989

Given numbers has no common factors except 1. So, there LCM is their product i.e 25714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25714

Therefore, the GCF of Fractions 8584/26,7502/989 is 2/25714

Least Common Multiple of 26,989 with GCF Formula

Least Common Multiple of 26,989 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 26,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,989) = 1

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

GCF(26,989) x common factors =1 x 1 = 1

LCM(26,989) = ( 26 × 989 ) / 1

LCM(26,989) = 25714 / 1

LCM(26,989) = 25714


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 8584/26, 7502/989

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 8584/26, 7502/989?

Answer: GCF of Numerators as per given numbers 8584/26, 7502/989 is

GCF of Numerators i.e. for 8584,7502 is 2

LCM of denominators i.e. for 26,989 is 25714.

Thus, GCF of Fractions is 2/25714.Finally, GCF of Fractions for 8584/26, 7502/989 is 2/25714.