Greatest Common Factor of 1088/813, 8041/9202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1088/813, 8041/9202

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 1088/813,8041/9202

Given fractions are 1088/813,8041/9202

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 1088,8041

Greatest Common Factor of Numerators i.e. GCF of 1088,8041 is 17 .

LCM of Denominators means LCM of 813,9202 as per the given fractions.

LCM of 813,9202 is 7481226 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1088,8041

GCF of Fractions 1088/813,8041/9202 is 17/7481226

17 1088, 8041
64, 473

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 1088,8041 By Matching Biggest Common Factor Method

Greatest Common Factor of 1088,8041 By Matching Biggest Common Factor Method

Factors of 1088

List of positive integer factors of 1088 that divides 1088 without a remainder.

1,2,4,8,16,17,32,34,64,68,136,272,544,1088

Factors of 8041

List of positive integer factors of 8041 that divides 8041 without a remainder.

1,11,17,43,187,473,731,8041

Greatest Common Factor

We found the factors 1088,8041 . The biggest common factor number is the GCF number.
So the greatest common factor 1088,8041 is 17.

Lets's calculate LCM of 813,9202

Given numbers has no common factors except 1. So, there LCM is their product i.e 7481226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/7481226

Therefore, the GCF of Fractions 1088/813,8041/9202 is 17/7481226

Least Common Multiple of 813,9202 with GCF Formula

Least Common Multiple of 813,9202 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 813,9202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,9202) = 1

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

GCF(813,9202) x common factors =1 x 1 = 1

LCM(813,9202) = ( 813 × 9202 ) / 1

LCM(813,9202) = 7481226 / 1

LCM(813,9202) = 7481226


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 1088/813, 8041/9202

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 1088/813, 8041/9202?

Answer: GCF of Numerators as per given numbers 1088/813, 8041/9202 is

GCF of Numerators i.e. for 1088,8041 is 17

LCM of denominators i.e. for 813,9202 is 7481226.

Thus, GCF of Fractions is 17/7481226.Finally, GCF of Fractions for 1088/813, 8041/9202 is 17/7481226.