Greatest Common Factor of 504/320, 431/690, 115/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 504/320, 431/690, 115/678

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 504/320,431/690,115/678

Given fractions are 504/320,431/690,115/678

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 504,431,115

Greatest Common Factor of Numerators i.e. GCF of 504,431,115 is 1 .

LCM of Denominators means LCM of 320,690,678 as per the given fractions.

LCM of 320,690,678 is 2495040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 504,431,115

GCF of Fractions 504/320,431/690,115/678 is 1/2495040

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

Greatest Common Factor of 504,431,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,431,115 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 504,431,115 . The biggest common factor number is the GCF number.
So the greatest common factor 504,431,115 is 1.

Lets's calculate LCM of 320,690,678

2 320, 690, 678
3 160, 345, 339
5 160, 115, 113
32, 23, 113

∴ So the LCM of the given numbers is 2 x 3 x 5 x 32 x 23 x 113 = 2495040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2495040

Therefore, the GCF of Fractions 504/320,431/690,115/678 is 1/2495040

Least Common Multiple of 320,690,678 with GCF Formula

Least Common Multiple of 320,690,678 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 320,690,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,690,678) = 2

common factors(in case of two or more numbers have common factors) = 30

GCF(320,690,678) x common factors =2 x 30 = 60

LCM(320,690,678) = ( 320 × 690 × 678 ) / 60

LCM(320,690,678) = 149702400 / 60

LCM(320,690,678) = 2495040


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 504/320, 431/690, 115/678

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 504/320, 431/690, 115/678?

Answer: GCF of Numerators as per given numbers 504/320, 431/690, 115/678 is

GCF of Numerators i.e. for 504,431,115 is 1

LCM of denominators i.e. for 320,690,678 is 2495040.

Thus, GCF of Fractions is 1/2495040.Finally, GCF of Fractions for 504/320, 431/690, 115/678 is 1/2495040.