Greatest Common Factor of 8336/89, 8126/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8336/89, 8126/253

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 8336/89,8126/253

Given fractions are 8336/89,8126/253

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 8336,8126

Greatest Common Factor of Numerators i.e. GCF of 8336,8126 is 2 .

LCM of Denominators means LCM of 89,253 as per the given fractions.

LCM of 89,253 is 22517 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8336,8126

GCF of Fractions 8336/89,8126/253 is 2/22517

2 8336, 8126
4168, 4063

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

Greatest Common Factor of 8336,8126 By Matching Biggest Common Factor Method

Greatest Common Factor of 8336,8126 By Matching Biggest Common Factor Method

Factors of 8336

List of positive integer factors of 8336 that divides 8336 without a remainder.

1,2,4,8,16,521,1042,2084,4168,8336

Factors of 8126

List of positive integer factors of 8126 that divides 8126 without a remainder.

1,2,17,34,239,478,4063,8126

Greatest Common Factor

We found the factors 8336,8126 . The biggest common factor number is the GCF number.
So the greatest common factor 8336,8126 is 2.

Lets's calculate LCM of 89,253

Given numbers has no common factors except 1. So, there LCM is their product i.e 22517

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22517

Therefore, the GCF of Fractions 8336/89,8126/253 is 2/22517

Least Common Multiple of 89,253 with GCF Formula

Least Common Multiple of 89,253 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 89,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,253) = 1

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

GCF(89,253) x common factors =1 x 1 = 1

LCM(89,253) = ( 89 × 253 ) / 1

LCM(89,253) = 22517 / 1

LCM(89,253) = 22517


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 8336/89, 8126/253

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 8336/89, 8126/253?

Answer: GCF of Numerators as per given numbers 8336/89, 8126/253 is

GCF of Numerators i.e. for 8336,8126 is 2

LCM of denominators i.e. for 89,253 is 22517.

Thus, GCF of Fractions is 2/22517.Finally, GCF of Fractions for 8336/89, 8126/253 is 2/22517.