Greatest Common Factor of 6320/51, 9458/795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6320/51, 9458/795

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 6320/51,9458/795

Given fractions are 6320/51,9458/795

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 6320,9458

Greatest Common Factor of Numerators i.e. GCF of 6320,9458 is 2 .

LCM of Denominators means LCM of 51,795 as per the given fractions.

LCM of 51,795 is 13515 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6320,9458

GCF of Fractions 6320/51,9458/795 is 2/13515

2 6320, 9458
3160, 4729

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

Greatest Common Factor of 6320,9458 By Matching Biggest Common Factor Method

Greatest Common Factor of 6320,9458 By Matching Biggest Common Factor Method

Factors of 6320

List of positive integer factors of 6320 that divides 6320 without a remainder.

1,2,4,5,8,10,16,20,40,79,80,158,316,395,632,790,1264,1580,3160,6320

Factors of 9458

List of positive integer factors of 9458 that divides 9458 without a remainder.

1,2,4729,9458

Greatest Common Factor

We found the factors 6320,9458 . The biggest common factor number is the GCF number.
So the greatest common factor 6320,9458 is 2.

Lets's calculate LCM of 51,795

3 51, 795
17, 265

∴ So the LCM of the given numbers is 3 x 17 x 265 = 13515

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13515

Therefore, the GCF of Fractions 6320/51,9458/795 is 2/13515

Least Common Multiple of 51,795 with GCF Formula

Least Common Multiple of 51,795 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 51,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,795) = 3

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

GCF(51,795) x common factors =3 x 1 = 3

LCM(51,795) = ( 51 × 795 ) / 3

LCM(51,795) = 40545 / 3

LCM(51,795) = 13515


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 6320/51, 9458/795

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 6320/51, 9458/795?

Answer: GCF of Numerators as per given numbers 6320/51, 9458/795 is

GCF of Numerators i.e. for 6320,9458 is 2

LCM of denominators i.e. for 51,795 is 13515.

Thus, GCF of Fractions is 2/13515.Finally, GCF of Fractions for 6320/51, 9458/795 is 2/13515.