Greatest Common Factor of 8587/232, 1457/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8587/232, 1457/585

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 8587/232,1457/585

Given fractions are 8587/232,1457/585

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 8587,1457

Greatest Common Factor of Numerators i.e. GCF of 8587,1457 is 31 .

LCM of Denominators means LCM of 232,585 as per the given fractions.

LCM of 232,585 is 135720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8587,1457

GCF of Fractions 8587/232,1457/585 is 31/135720

31 8587, 1457
277, 47

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 8587,1457 By Matching Biggest Common Factor Method

Greatest Common Factor of 8587,1457 By Matching Biggest Common Factor Method

Factors of 8587

List of positive integer factors of 8587 that divides 8587 without a remainder.

1,31,277,8587

Factors of 1457

List of positive integer factors of 1457 that divides 1457 without a remainder.

1,31,47,1457

Greatest Common Factor

We found the factors 8587,1457 . The biggest common factor number is the GCF number.
So the greatest common factor 8587,1457 is 31.

Lets's calculate LCM of 232,585

Given numbers has no common factors except 1. So, there LCM is their product i.e 135720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/135720

Therefore, the GCF of Fractions 8587/232,1457/585 is 31/135720

Least Common Multiple of 232,585 with GCF Formula

Least Common Multiple of 232,585 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 232,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,585) = 1

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

GCF(232,585) x common factors =1 x 1 = 1

LCM(232,585) = ( 232 × 585 ) / 1

LCM(232,585) = 135720 / 1

LCM(232,585) = 135720


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 8587/232, 1457/585

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 8587/232, 1457/585?

Answer: GCF of Numerators as per given numbers 8587/232, 1457/585 is

GCF of Numerators i.e. for 8587,1457 is 31

LCM of denominators i.e. for 232,585 is 135720.

Thus, GCF of Fractions is 31/135720.Finally, GCF of Fractions for 8587/232, 1457/585 is 31/135720.