Greatest Common Factor of 1158/503, 1088/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1158/503, 1088/406

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 1158/503,1088/406

Given fractions are 1158/503,1088/406

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 1158,1088

Greatest Common Factor of Numerators i.e. GCF of 1158,1088 is 2 .

LCM of Denominators means LCM of 503,406 as per the given fractions.

LCM of 503,406 is 204218 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1158,1088

GCF of Fractions 1158/503,1088/406 is 2/204218

2 1158, 1088
579, 544

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

Greatest Common Factor of 1158,1088 By Matching Biggest Common Factor Method

Greatest Common Factor of 1158,1088 By Matching Biggest Common Factor Method

Factors of 1158

List of positive integer factors of 1158 that divides 1158 without a remainder.

1,2,3,6,193,386,579,1158

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

Greatest Common Factor

We found the factors 1158,1088 . The biggest common factor number is the GCF number.
So the greatest common factor 1158,1088 is 2.

Lets's calculate LCM of 503,406

Given numbers has no common factors except 1. So, there LCM is their product i.e 204218

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/204218

Therefore, the GCF of Fractions 1158/503,1088/406 is 2/204218

Least Common Multiple of 503,406 with GCF Formula

Least Common Multiple of 503,406 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 503,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(503,406) = 1

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

GCF(503,406) x common factors =1 x 1 = 1

LCM(503,406) = ( 503 × 406 ) / 1

LCM(503,406) = 204218 / 1

LCM(503,406) = 204218


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 1158/503, 1088/406

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 1158/503, 1088/406?

Answer: GCF of Numerators as per given numbers 1158/503, 1088/406 is

GCF of Numerators i.e. for 1158,1088 is 2

LCM of denominators i.e. for 503,406 is 204218.

Thus, GCF of Fractions is 2/204218.Finally, GCF of Fractions for 1158/503, 1088/406 is 2/204218.