Greatest Common Factor of 508/338, 9823/2151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 508/338, 9823/2151

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 508/338,9823/2151

Given fractions are 508/338,9823/2151

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 508,9823

Greatest Common Factor of Numerators i.e. GCF of 508,9823 is 1 .

LCM of Denominators means LCM of 338,2151 as per the given fractions.

LCM of 338,2151 is 727038 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 508,9823

GCF of Fractions 508/338,9823/2151 is 1/727038

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

Greatest Common Factor of 508,9823 By Matching Biggest Common Factor Method

Greatest Common Factor of 508,9823 By Matching Biggest Common Factor Method

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 9823

List of positive integer factors of 9823 that divides 9823 without a remainder.

1,11,19,47,209,517,893,9823

Greatest Common Factor

We found the factors 508,9823 . The biggest common factor number is the GCF number.
So the greatest common factor 508,9823 is 1.

Lets's calculate LCM of 338,2151

Given numbers has no common factors except 1. So, there LCM is their product i.e 727038

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/727038

Therefore, the GCF of Fractions 508/338,9823/2151 is 1/727038

Least Common Multiple of 338,2151 with GCF Formula

Least Common Multiple of 338,2151 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 338,2151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,2151) = 1

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

GCF(338,2151) x common factors =1 x 1 = 1

LCM(338,2151) = ( 338 × 2151 ) / 1

LCM(338,2151) = 727038 / 1

LCM(338,2151) = 727038


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 508/338, 9823/2151

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 508/338, 9823/2151?

Answer: GCF of Numerators as per given numbers 508/338, 9823/2151 is

GCF of Numerators i.e. for 508,9823 is 1

LCM of denominators i.e. for 338,2151 is 727038.

Thus, GCF of Fractions is 1/727038.Finally, GCF of Fractions for 508/338, 9823/2151 is 1/727038.