Greatest Common Factor of 510/794, 9474/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 510/794, 9474/723

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 510/794,9474/723

Given fractions are 510/794,9474/723

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 510,9474

Greatest Common Factor of Numerators i.e. GCF of 510,9474 is 6 .

LCM of Denominators means LCM of 794,723 as per the given fractions.

LCM of 794,723 is 574062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 510,9474

GCF of Fractions 510/794,9474/723 is 6/574062

2 510, 9474
3 255, 4737
85, 1579

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 510,9474 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,9474 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 9474

List of positive integer factors of 9474 that divides 9474 without a remainder.

1,2,3,6,1579,3158,4737,9474

Greatest Common Factor

We found the factors 510,9474 . The biggest common factor number is the GCF number.
So the greatest common factor 510,9474 is 6.

Lets's calculate LCM of 794,723

Given numbers has no common factors except 1. So, there LCM is their product i.e 574062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/574062

Therefore, the GCF of Fractions 510/794,9474/723 is 6/574062

Least Common Multiple of 794,723 with GCF Formula

Least Common Multiple of 794,723 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 794,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,723) = 1

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

GCF(794,723) x common factors =1 x 1 = 1

LCM(794,723) = ( 794 × 723 ) / 1

LCM(794,723) = 574062 / 1

LCM(794,723) = 574062


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 510/794, 9474/723

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 510/794, 9474/723?

Answer: GCF of Numerators as per given numbers 510/794, 9474/723 is

GCF of Numerators i.e. for 510,9474 is 6

LCM of denominators i.e. for 794,723 is 574062.

Thus, GCF of Fractions is 6/574062.Finally, GCF of Fractions for 510/794, 9474/723 is 6/574062.