Greatest Common Factor of 510/742, 5875/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 510/742, 5875/684

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 510/742,5875/684

Given fractions are 510/742,5875/684

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 510,5875

Greatest Common Factor of Numerators i.e. GCF of 510,5875 is 5 .

LCM of Denominators means LCM of 742,684 as per the given fractions.

LCM of 742,684 is 253764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 510,5875

GCF of Fractions 510/742,5875/684 is 5/253764

5 510, 5875
102, 1175

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 510,5875 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,5875 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 5875

List of positive integer factors of 5875 that divides 5875 without a remainder.

1,5,25,47,125,235,1175,5875

Greatest Common Factor

We found the factors 510,5875 . The biggest common factor number is the GCF number.
So the greatest common factor 510,5875 is 5.

Lets's calculate LCM of 742,684

2 742, 684
371, 342

∴ So the LCM of the given numbers is 2 x 371 x 342 = 253764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/253764

Therefore, the GCF of Fractions 510/742,5875/684 is 5/253764

Least Common Multiple of 742,684 with GCF Formula

Least Common Multiple of 742,684 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 742,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,684) = 2

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

GCF(742,684) x common factors =2 x 1 = 2

LCM(742,684) = ( 742 × 684 ) / 2

LCM(742,684) = 507528 / 2

LCM(742,684) = 253764


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 510/742, 5875/684

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 510/742, 5875/684?

Answer: GCF of Numerators as per given numbers 510/742, 5875/684 is

GCF of Numerators i.e. for 510,5875 is 5

LCM of denominators i.e. for 742,684 is 253764.

Thus, GCF of Fractions is 5/253764.Finally, GCF of Fractions for 510/742, 5875/684 is 5/253764.