Greatest Common Factor of 251/323, 8142/9885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 251/323, 8142/9885

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 251/323,8142/9885

Given fractions are 251/323,8142/9885

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 251,8142

Greatest Common Factor of Numerators i.e. GCF of 251,8142 is 1 .

LCM of Denominators means LCM of 323,9885 as per the given fractions.

LCM of 323,9885 is 3192855 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 251,8142

GCF of Fractions 251/323,8142/9885 is 1/3192855

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

Greatest Common Factor of 251,8142 By Matching Biggest Common Factor Method

Greatest Common Factor of 251,8142 By Matching Biggest Common Factor Method

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 8142

List of positive integer factors of 8142 that divides 8142 without a remainder.

1,2,3,6,23,46,59,69,118,138,177,354,1357,2714,4071,8142

Greatest Common Factor

We found the factors 251,8142 . The biggest common factor number is the GCF number.
So the greatest common factor 251,8142 is 1.

Lets's calculate LCM of 323,9885

Given numbers has no common factors except 1. So, there LCM is their product i.e 3192855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3192855

Therefore, the GCF of Fractions 251/323,8142/9885 is 1/3192855

Least Common Multiple of 323,9885 with GCF Formula

Least Common Multiple of 323,9885 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 323,9885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,9885) = 1

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

GCF(323,9885) x common factors =1 x 1 = 1

LCM(323,9885) = ( 323 × 9885 ) / 1

LCM(323,9885) = 3192855 / 1

LCM(323,9885) = 3192855


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 251/323, 8142/9885

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 251/323, 8142/9885?

Answer: GCF of Numerators as per given numbers 251/323, 8142/9885 is

GCF of Numerators i.e. for 251,8142 is 1

LCM of denominators i.e. for 323,9885 is 3192855.

Thus, GCF of Fractions is 1/3192855.Finally, GCF of Fractions for 251/323, 8142/9885 is 1/3192855.