Greatest Common Factor of 903/715, 3980/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 903/715, 3980/755

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 903/715,3980/755

Given fractions are 903/715,3980/755

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 903,3980

Greatest Common Factor of Numerators i.e. GCF of 903,3980 is 1 .

LCM of Denominators means LCM of 715,755 as per the given fractions.

LCM of 715,755 is 107965 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 903,3980

GCF of Fractions 903/715,3980/755 is 1/107965

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 903,3980 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,3980 By Matching Biggest Common Factor Method

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Factors of 3980

List of positive integer factors of 3980 that divides 3980 without a remainder.

1,2,4,5,10,20,199,398,796,995,1990,3980

Greatest Common Factor

We found the factors 903,3980 . The biggest common factor number is the GCF number.
So the greatest common factor 903,3980 is 1.

Lets's calculate LCM of 715,755

5 715, 755
143, 151

∴ So the LCM of the given numbers is 5 x 143 x 151 = 107965

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107965

Therefore, the GCF of Fractions 903/715,3980/755 is 1/107965

Least Common Multiple of 715,755 with GCF Formula

Least Common Multiple of 715,755 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 715,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,755) = 5

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

GCF(715,755) x common factors =5 x 1 = 5

LCM(715,755) = ( 715 × 755 ) / 5

LCM(715,755) = 539825 / 5

LCM(715,755) = 107965


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 903/715, 3980/755

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 903/715, 3980/755?

Answer: GCF of Numerators as per given numbers 903/715, 3980/755 is

GCF of Numerators i.e. for 903,3980 is 1

LCM of denominators i.e. for 715,755 is 107965.

Thus, GCF of Fractions is 1/107965.Finally, GCF of Fractions for 903/715, 3980/755 is 1/107965.