Greatest Common Factor of 86/320, 549/287, 725/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 86/320, 549/287, 725/874

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 86/320,549/287,725/874

Given fractions are 86/320,549/287,725/874

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 86,549,725

Greatest Common Factor of Numerators i.e. GCF of 86,549,725 is 1 .

LCM of Denominators means LCM of 320,287,874 as per the given fractions.

LCM of 320,287,874 is 40134080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 86,549,725

GCF of Fractions 86/320,549/287,725/874 is 1/40134080

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 86,549,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,549,725 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 86,549,725 . The biggest common factor number is the GCF number.
So the greatest common factor 86,549,725 is 1.

Lets's calculate LCM of 320,287,874

2 320, 287, 874
160, 287, 437

∴ So the LCM of the given numbers is 2 x 160 x 287 x 437 = 40134080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40134080

Therefore, the GCF of Fractions 86/320,549/287,725/874 is 1/40134080

Least Common Multiple of 320,287,874 with GCF Formula

Least Common Multiple of 320,287,874 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 320,287,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,287,874) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(320,287,874) x common factors =1 x 2 = 2

LCM(320,287,874) = ( 320 × 287 × 874 ) / 2

LCM(320,287,874) = 80268160 / 2

LCM(320,287,874) = 40134080


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 86/320, 549/287, 725/874

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 86/320, 549/287, 725/874?

Answer: GCF of Numerators as per given numbers 86/320, 549/287, 725/874 is

GCF of Numerators i.e. for 86,549,725 is 1

LCM of denominators i.e. for 320,287,874 is 40134080.

Thus, GCF of Fractions is 1/40134080.Finally, GCF of Fractions for 86/320, 549/287, 725/874 is 1/40134080.