Greatest Common Factor of 255/654, 781/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 255/654, 781/924

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 255/654,781/924

Given fractions are 255/654,781/924

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 255,781

Greatest Common Factor of Numerators i.e. GCF of 255,781 is 1 .

LCM of Denominators means LCM of 654,924 as per the given fractions.

LCM of 654,924 is 100716 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 255,781

GCF of Fractions 255/654,781/924 is 1/100716

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

Greatest Common Factor of 255,781 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,781 By Matching Biggest Common Factor Method

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Greatest Common Factor

We found the factors 255,781 . The biggest common factor number is the GCF number.
So the greatest common factor 255,781 is 1.

Lets's calculate LCM of 654,924

2 654, 924
3 327, 462
109, 154

∴ So the LCM of the given numbers is 2 x 3 x 109 x 154 = 100716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100716

Therefore, the GCF of Fractions 255/654,781/924 is 1/100716

Least Common Multiple of 654,924 with GCF Formula

Least Common Multiple of 654,924 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 654,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,924) = 6

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

GCF(654,924) x common factors =6 x 1 = 6

LCM(654,924) = ( 654 × 924 ) / 6

LCM(654,924) = 604296 / 6

LCM(654,924) = 100716


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 255/654, 781/924

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 255/654, 781/924?

Answer: GCF of Numerators as per given numbers 255/654, 781/924 is

GCF of Numerators i.e. for 255,781 is 1

LCM of denominators i.e. for 654,924 is 100716.

Thus, GCF of Fractions is 1/100716.Finally, GCF of Fractions for 255/654, 781/924 is 1/100716.