Greatest Common Factor of 988/811, 9451/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 988/811, 9451/269

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 988/811,9451/269

Given fractions are 988/811,9451/269

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 988,9451

Greatest Common Factor of Numerators i.e. GCF of 988,9451 is 13 .

LCM of Denominators means LCM of 811,269 as per the given fractions.

LCM of 811,269 is 218159 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 988,9451

GCF of Fractions 988/811,9451/269 is 13/218159

13 988, 9451
76, 727

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 988,9451 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,9451 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 9451

List of positive integer factors of 9451 that divides 9451 without a remainder.

1,13,727,9451

Greatest Common Factor

We found the factors 988,9451 . The biggest common factor number is the GCF number.
So the greatest common factor 988,9451 is 13.

Lets's calculate LCM of 811,269

Given numbers has no common factors except 1. So, there LCM is their product i.e 218159

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/218159

Therefore, the GCF of Fractions 988/811,9451/269 is 13/218159

Least Common Multiple of 811,269 with GCF Formula

Least Common Multiple of 811,269 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 811,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(811,269) = 1

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

GCF(811,269) x common factors =1 x 1 = 1

LCM(811,269) = ( 811 × 269 ) / 1

LCM(811,269) = 218159 / 1

LCM(811,269) = 218159


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 988/811, 9451/269

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 988/811, 9451/269?

Answer: GCF of Numerators as per given numbers 988/811, 9451/269 is

GCF of Numerators i.e. for 988,9451 is 13

LCM of denominators i.e. for 811,269 is 218159.

Thus, GCF of Fractions is 13/218159.Finally, GCF of Fractions for 988/811, 9451/269 is 13/218159.