Greatest Common Factor of 390/913, 975/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 390/913, 975/103

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 390/913,975/103

Given fractions are 390/913,975/103

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 390,975

Greatest Common Factor of Numerators i.e. GCF of 390,975 is 195 .

LCM of Denominators means LCM of 913,103 as per the given fractions.

LCM of 913,103 is 94039 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 390,975

GCF of Fractions 390/913,975/103 is 195/94039

3 390, 975
5 130, 325
13 26, 65
2, 5

∴ So the GCF of the given numbers is 3 x 5 x 13 = 195

Greatest Common Factor of 390,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,975 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 390,975 . The biggest common factor number is the GCF number.
So the greatest common factor 390,975 is 195.

Lets's calculate LCM of 913,103

Given numbers has no common factors except 1. So, there LCM is their product i.e 94039

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 195/94039

Therefore, the GCF of Fractions 390/913,975/103 is 195/94039

Least Common Multiple of 913,103 with GCF Formula

Least Common Multiple of 913,103 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 913,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(913,103) = 1

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

GCF(913,103) x common factors =1 x 1 = 1

LCM(913,103) = ( 913 × 103 ) / 1

LCM(913,103) = 94039 / 1

LCM(913,103) = 94039


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 390/913, 975/103

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 390/913, 975/103?

Answer: GCF of Numerators as per given numbers 390/913, 975/103 is

GCF of Numerators i.e. for 390,975 is 195

LCM of denominators i.e. for 913,103 is 94039.

Thus, GCF of Fractions is 195/94039.Finally, GCF of Fractions for 390/913, 975/103 is 195/94039.