Greatest Common Factor of 6435/920, 4115/6281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6435/920, 4115/6281

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 6435/920,4115/6281

Given fractions are 6435/920,4115/6281

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 6435,4115

Greatest Common Factor of Numerators i.e. GCF of 6435,4115 is 5 .

LCM of Denominators means LCM of 920,6281 as per the given fractions.

LCM of 920,6281 is 5778520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6435,4115

GCF of Fractions 6435/920,4115/6281 is 5/5778520

5 6435, 4115
1287, 823

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6435,4115 By Matching Biggest Common Factor Method

Greatest Common Factor of 6435,4115 By Matching Biggest Common Factor Method

Factors of 6435

List of positive integer factors of 6435 that divides 6435 without a remainder.

1,3,5,9,11,13,15,33,39,45,55,65,99,117,143,165,195,429,495,585,715,1287,2145,6435

Factors of 4115

List of positive integer factors of 4115 that divides 4115 without a remainder.

1,5,823,4115

Greatest Common Factor

We found the factors 6435,4115 . The biggest common factor number is the GCF number.
So the greatest common factor 6435,4115 is 5.

Lets's calculate LCM of 920,6281

Given numbers has no common factors except 1. So, there LCM is their product i.e 5778520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5778520

Therefore, the GCF of Fractions 6435/920,4115/6281 is 5/5778520

Least Common Multiple of 920,6281 with GCF Formula

Least Common Multiple of 920,6281 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 920,6281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,6281) = 1

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

GCF(920,6281) x common factors =1 x 1 = 1

LCM(920,6281) = ( 920 × 6281 ) / 1

LCM(920,6281) = 5778520 / 1

LCM(920,6281) = 5778520


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 6435/920, 4115/6281

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 6435/920, 4115/6281?

Answer: GCF of Numerators as per given numbers 6435/920, 4115/6281 is

GCF of Numerators i.e. for 6435,4115 is 5

LCM of denominators i.e. for 920,6281 is 5778520.

Thus, GCF of Fractions is 5/5778520.Finally, GCF of Fractions for 6435/920, 4115/6281 is 5/5778520.