Greatest Common Factor of 460/75, 998/6309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 460/75, 998/6309

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 460/75,998/6309

Given fractions are 460/75,998/6309

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 460,998

Greatest Common Factor of Numerators i.e. GCF of 460,998 is 2 .

LCM of Denominators means LCM of 75,6309 as per the given fractions.

LCM of 75,6309 is 157725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 460,998

GCF of Fractions 460/75,998/6309 is 2/157725

2 460, 998
230, 499

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 460,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,998 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 460,998 . The biggest common factor number is the GCF number.
So the greatest common factor 460,998 is 2.

Lets's calculate LCM of 75,6309

3 75, 6309
25, 2103

∴ So the LCM of the given numbers is 3 x 25 x 2103 = 157725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/157725

Therefore, the GCF of Fractions 460/75,998/6309 is 2/157725

Least Common Multiple of 75,6309 with GCF Formula

Least Common Multiple of 75,6309 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 75,6309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,6309) = 3

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

GCF(75,6309) x common factors =3 x 1 = 3

LCM(75,6309) = ( 75 × 6309 ) / 3

LCM(75,6309) = 473175 / 3

LCM(75,6309) = 157725


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 460/75, 998/6309

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 460/75, 998/6309?

Answer: GCF of Numerators as per given numbers 460/75, 998/6309 is

GCF of Numerators i.e. for 460,998 is 2

LCM of denominators i.e. for 75,6309 is 157725.

Thus, GCF of Fractions is 2/157725.Finally, GCF of Fractions for 460/75, 998/6309 is 2/157725.