Greatest Common Factor of 8135/358, 8585/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8135/358, 8585/767

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 8135/358,8585/767

Given fractions are 8135/358,8585/767

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 8135,8585

Greatest Common Factor of Numerators i.e. GCF of 8135,8585 is 5 .

LCM of Denominators means LCM of 358,767 as per the given fractions.

LCM of 358,767 is 274586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8135,8585

GCF of Fractions 8135/358,8585/767 is 5/274586

5 8135, 8585
1627, 1717

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

Greatest Common Factor of 8135,8585 By Matching Biggest Common Factor Method

Greatest Common Factor of 8135,8585 By Matching Biggest Common Factor Method

Factors of 8135

List of positive integer factors of 8135 that divides 8135 without a remainder.

1,5,1627,8135

Factors of 8585

List of positive integer factors of 8585 that divides 8585 without a remainder.

1,5,17,85,101,505,1717,8585

Greatest Common Factor

We found the factors 8135,8585 . The biggest common factor number is the GCF number.
So the greatest common factor 8135,8585 is 5.

Lets's calculate LCM of 358,767

Given numbers has no common factors except 1. So, there LCM is their product i.e 274586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/274586

Therefore, the GCF of Fractions 8135/358,8585/767 is 5/274586

Least Common Multiple of 358,767 with GCF Formula

Least Common Multiple of 358,767 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 358,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(358,767) = 1

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

GCF(358,767) x common factors =1 x 1 = 1

LCM(358,767) = ( 358 × 767 ) / 1

LCM(358,767) = 274586 / 1

LCM(358,767) = 274586


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 8135/358, 8585/767

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 8135/358, 8585/767?

Answer: GCF of Numerators as per given numbers 8135/358, 8585/767 is

GCF of Numerators i.e. for 8135,8585 is 5

LCM of denominators i.e. for 358,767 is 274586.

Thus, GCF of Fractions is 5/274586.Finally, GCF of Fractions for 8135/358, 8585/767 is 5/274586.