Greatest Common Factor of 6350/91, 4790/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6350/91, 4790/865

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 6350/91,4790/865

Given fractions are 6350/91,4790/865

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 6350,4790

Greatest Common Factor of Numerators i.e. GCF of 6350,4790 is 10 .

LCM of Denominators means LCM of 91,865 as per the given fractions.

LCM of 91,865 is 78715 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6350,4790

GCF of Fractions 6350/91,4790/865 is 10/78715

2 6350, 4790
5 3175, 2395
635, 479

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 6350,4790 By Matching Biggest Common Factor Method

Greatest Common Factor of 6350,4790 By Matching Biggest Common Factor Method

Factors of 6350

List of positive integer factors of 6350 that divides 6350 without a remainder.

1,2,5,10,25,50,127,254,635,1270,3175,6350

Factors of 4790

List of positive integer factors of 4790 that divides 4790 without a remainder.

1,2,5,10,479,958,2395,4790

Greatest Common Factor

We found the factors 6350,4790 . The biggest common factor number is the GCF number.
So the greatest common factor 6350,4790 is 10.

Lets's calculate LCM of 91,865

Given numbers has no common factors except 1. So, there LCM is their product i.e 78715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/78715

Therefore, the GCF of Fractions 6350/91,4790/865 is 10/78715

Least Common Multiple of 91,865 with GCF Formula

Least Common Multiple of 91,865 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 91,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,865) = 1

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

GCF(91,865) x common factors =1 x 1 = 1

LCM(91,865) = ( 91 × 865 ) / 1

LCM(91,865) = 78715 / 1

LCM(91,865) = 78715


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 6350/91, 4790/865

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 6350/91, 4790/865?

Answer: GCF of Numerators as per given numbers 6350/91, 4790/865 is

GCF of Numerators i.e. for 6350,4790 is 10

LCM of denominators i.e. for 91,865 is 78715.

Thus, GCF of Fractions is 10/78715.Finally, GCF of Fractions for 6350/91, 4790/865 is 10/78715.