Greatest Common Factor of 3772/752, 8628/4918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3772/752, 8628/4918

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 3772/752,8628/4918

Given fractions are 3772/752,8628/4918

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 3772,8628

Greatest Common Factor of Numerators i.e. GCF of 3772,8628 is 4 .

LCM of Denominators means LCM of 752,4918 as per the given fractions.

LCM of 752,4918 is 1849168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3772,8628

GCF of Fractions 3772/752,8628/4918 is 4/1849168

2 3772, 8628
2 1886, 4314
943, 2157

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3772,8628 By Matching Biggest Common Factor Method

Greatest Common Factor of 3772,8628 By Matching Biggest Common Factor Method

Factors of 3772

List of positive integer factors of 3772 that divides 3772 without a remainder.

1,2,4,23,41,46,82,92,164,943,1886,3772

Factors of 8628

List of positive integer factors of 8628 that divides 8628 without a remainder.

1,2,3,4,6,12,719,1438,2157,2876,4314,8628

Greatest Common Factor

We found the factors 3772,8628 . The biggest common factor number is the GCF number.
So the greatest common factor 3772,8628 is 4.

Lets's calculate LCM of 752,4918

2 752, 4918
376, 2459

∴ So the LCM of the given numbers is 2 x 376 x 2459 = 1849168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1849168

Therefore, the GCF of Fractions 3772/752,8628/4918 is 4/1849168

Least Common Multiple of 752,4918 with GCF Formula

Least Common Multiple of 752,4918 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 752,4918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,4918) = 2

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

GCF(752,4918) x common factors =2 x 1 = 2

LCM(752,4918) = ( 752 × 4918 ) / 2

LCM(752,4918) = 3698336 / 2

LCM(752,4918) = 1849168


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 3772/752, 8628/4918

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 3772/752, 8628/4918?

Answer: GCF of Numerators as per given numbers 3772/752, 8628/4918 is

GCF of Numerators i.e. for 3772,8628 is 4

LCM of denominators i.e. for 752,4918 is 1849168.

Thus, GCF of Fractions is 4/1849168.Finally, GCF of Fractions for 3772/752, 8628/4918 is 4/1849168.