Greatest Common Factor of 878/798, 995/640, 323/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 878/798, 995/640, 323/702

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 878/798,995/640,323/702

Given fractions are 878/798,995/640,323/702

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 878,995,323

Greatest Common Factor of Numerators i.e. GCF of 878,995,323 is 1 .

LCM of Denominators means LCM of 798,640,702 as per the given fractions.

LCM of 798,640,702 is 29877120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 878,995,323

GCF of Fractions 878/798,995/640,323/702 is 1/29877120

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

Greatest Common Factor of 878,995,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,995,323 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 878,995,323 . The biggest common factor number is the GCF number.
So the greatest common factor 878,995,323 is 1.

Lets's calculate LCM of 798,640,702

2 798, 640, 702
3 399, 320, 351
133, 320, 117

∴ So the LCM of the given numbers is 2 x 3 x 133 x 320 x 117 = 29877120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29877120

Therefore, the GCF of Fractions 878/798,995/640,323/702 is 1/29877120

Least Common Multiple of 798,640,702 with GCF Formula

Least Common Multiple of 798,640,702 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 798,640,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,640,702) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(798,640,702) x common factors =2 x 6 = 12

LCM(798,640,702) = ( 798 × 640 × 702 ) / 12

LCM(798,640,702) = 358525440 / 12

LCM(798,640,702) = 29877120


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 878/798, 995/640, 323/702

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 878/798, 995/640, 323/702?

Answer: GCF of Numerators as per given numbers 878/798, 995/640, 323/702 is

GCF of Numerators i.e. for 878,995,323 is 1

LCM of denominators i.e. for 798,640,702 is 29877120.

Thus, GCF of Fractions is 1/29877120.Finally, GCF of Fractions for 878/798, 995/640, 323/702 is 1/29877120.