Greatest Common Factor of 3751/788, 5621/2402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3751/788, 5621/2402

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 3751/788,5621/2402

Given fractions are 3751/788,5621/2402

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 3751,5621

Greatest Common Factor of Numerators i.e. GCF of 3751,5621 is 11 .

LCM of Denominators means LCM of 788,2402 as per the given fractions.

LCM of 788,2402 is 946388 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3751,5621

GCF of Fractions 3751/788,5621/2402 is 11/946388

11 3751, 5621
341, 511

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 3751,5621 By Matching Biggest Common Factor Method

Greatest Common Factor of 3751,5621 By Matching Biggest Common Factor Method

Factors of 3751

List of positive integer factors of 3751 that divides 3751 without a remainder.

1,11,31,121,341,3751

Factors of 5621

List of positive integer factors of 5621 that divides 5621 without a remainder.

1,7,11,73,77,511,803,5621

Greatest Common Factor

We found the factors 3751,5621 . The biggest common factor number is the GCF number.
So the greatest common factor 3751,5621 is 11.

Lets's calculate LCM of 788,2402

2 788, 2402
394, 1201

∴ So the LCM of the given numbers is 2 x 394 x 1201 = 946388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/946388

Therefore, the GCF of Fractions 3751/788,5621/2402 is 11/946388

Least Common Multiple of 788,2402 with GCF Formula

Least Common Multiple of 788,2402 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 788,2402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,2402) = 2

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

GCF(788,2402) x common factors =2 x 1 = 2

LCM(788,2402) = ( 788 × 2402 ) / 2

LCM(788,2402) = 1892776 / 2

LCM(788,2402) = 946388


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 3751/788, 5621/2402

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 3751/788, 5621/2402?

Answer: GCF of Numerators as per given numbers 3751/788, 5621/2402 is

GCF of Numerators i.e. for 3751,5621 is 11

LCM of denominators i.e. for 788,2402 is 946388.

Thus, GCF of Fractions is 11/946388.Finally, GCF of Fractions for 3751/788, 5621/2402 is 11/946388.