Greatest Common Factor of 5038/330, 2131/9765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5038/330, 2131/9765

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 5038/330,2131/9765

Given fractions are 5038/330,2131/9765

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 5038,2131

Greatest Common Factor of Numerators i.e. GCF of 5038,2131 is 1 .

LCM of Denominators means LCM of 330,9765 as per the given fractions.

LCM of 330,9765 is 214830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5038,2131

GCF of Fractions 5038/330,2131/9765 is 1/214830

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

Greatest Common Factor of 5038,2131 By Matching Biggest Common Factor Method

Greatest Common Factor of 5038,2131 By Matching Biggest Common Factor Method

Factors of 5038

List of positive integer factors of 5038 that divides 5038 without a remainder.

1,2,11,22,229,458,2519,5038

Factors of 2131

List of positive integer factors of 2131 that divides 2131 without a remainder.

1,2131

Greatest Common Factor

We found the factors 5038,2131 . The biggest common factor number is the GCF number.
So the greatest common factor 5038,2131 is 1.

Lets's calculate LCM of 330,9765

3 330, 9765
5 110, 3255
22, 651

∴ So the LCM of the given numbers is 3 x 5 x 22 x 651 = 214830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214830

Therefore, the GCF of Fractions 5038/330,2131/9765 is 1/214830

Least Common Multiple of 330,9765 with GCF Formula

Least Common Multiple of 330,9765 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 330,9765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,9765) = 15

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

GCF(330,9765) x common factors =15 x 1 = 15

LCM(330,9765) = ( 330 × 9765 ) / 15

LCM(330,9765) = 3222450 / 15

LCM(330,9765) = 214830


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 5038/330, 2131/9765

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 5038/330, 2131/9765?

Answer: GCF of Numerators as per given numbers 5038/330, 2131/9765 is

GCF of Numerators i.e. for 5038,2131 is 1

LCM of denominators i.e. for 330,9765 is 214830.

Thus, GCF of Fractions is 1/214830.Finally, GCF of Fractions for 5038/330, 2131/9765 is 1/214830.