Greatest Common Factor of 865/5302, 635/5987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 865/5302, 635/5987

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 865/5302,635/5987

Given fractions are 865/5302,635/5987

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 865,635

Greatest Common Factor of Numerators i.e. GCF of 865,635 is 5 .

LCM of Denominators means LCM of 5302,5987 as per the given fractions.

LCM of 5302,5987 is 31743074 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 865,635

GCF of Fractions 865/5302,635/5987 is 5/31743074

5 865, 635
173, 127

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

Greatest Common Factor of 865,635 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,635 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Greatest Common Factor

We found the factors 865,635 . The biggest common factor number is the GCF number.
So the greatest common factor 865,635 is 5.

Lets's calculate LCM of 5302,5987

Given numbers has no common factors except 1. So, there LCM is their product i.e 31743074

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/31743074

Therefore, the GCF of Fractions 865/5302,635/5987 is 5/31743074

Least Common Multiple of 5302,5987 with GCF Formula

Least Common Multiple of 5302,5987 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 5302,5987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5302,5987) = 1

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

GCF(5302,5987) x common factors =1 x 1 = 1

LCM(5302,5987) = ( 5302 × 5987 ) / 1

LCM(5302,5987) = 31743074 / 1

LCM(5302,5987) = 31743074


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 865/5302, 635/5987

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 865/5302, 635/5987?

Answer: GCF of Numerators as per given numbers 865/5302, 635/5987 is

GCF of Numerators i.e. for 865,635 is 5

LCM of denominators i.e. for 5302,5987 is 31743074.

Thus, GCF of Fractions is 5/31743074.Finally, GCF of Fractions for 865/5302, 635/5987 is 5/31743074.