Greatest Common Factor of 748/994, 3751/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 748/994, 3751/572

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 748/994,3751/572

Given fractions are 748/994,3751/572

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 748,3751

Greatest Common Factor of Numerators i.e. GCF of 748,3751 is 11 .

LCM of Denominators means LCM of 994,572 as per the given fractions.

LCM of 994,572 is 284284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 748,3751

GCF of Fractions 748/994,3751/572 is 11/284284

11 748, 3751
68, 341

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

Greatest Common Factor of 748,3751 By Matching Biggest Common Factor Method

Greatest Common Factor of 748,3751 By Matching Biggest Common Factor Method

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 3751

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

1,11,31,121,341,3751

Greatest Common Factor

We found the factors 748,3751 . The biggest common factor number is the GCF number.
So the greatest common factor 748,3751 is 11.

Lets's calculate LCM of 994,572

2 994, 572
497, 286

∴ So the LCM of the given numbers is 2 x 497 x 286 = 284284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/284284

Therefore, the GCF of Fractions 748/994,3751/572 is 11/284284

Least Common Multiple of 994,572 with GCF Formula

Least Common Multiple of 994,572 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 994,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,572) = 2

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

GCF(994,572) x common factors =2 x 1 = 2

LCM(994,572) = ( 994 × 572 ) / 2

LCM(994,572) = 568568 / 2

LCM(994,572) = 284284


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 748/994, 3751/572

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 748/994, 3751/572?

Answer: GCF of Numerators as per given numbers 748/994, 3751/572 is

GCF of Numerators i.e. for 748,3751 is 11

LCM of denominators i.e. for 994,572 is 284284.

Thus, GCF of Fractions is 11/284284.Finally, GCF of Fractions for 748/994, 3751/572 is 11/284284.