Greatest Common Factor of 7372/748, 2216/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7372/748, 2216/879

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 7372/748,2216/879

Given fractions are 7372/748,2216/879

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 7372,2216

Greatest Common Factor of Numerators i.e. GCF of 7372,2216 is 4 .

LCM of Denominators means LCM of 748,879 as per the given fractions.

LCM of 748,879 is 657492 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7372,2216

GCF of Fractions 7372/748,2216/879 is 4/657492

2 7372, 2216
2 3686, 1108
1843, 554

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

Greatest Common Factor of 7372,2216 By Matching Biggest Common Factor Method

Greatest Common Factor of 7372,2216 By Matching Biggest Common Factor Method

Factors of 7372

List of positive integer factors of 7372 that divides 7372 without a remainder.

1,2,4,19,38,76,97,194,388,1843,3686,7372

Factors of 2216

List of positive integer factors of 2216 that divides 2216 without a remainder.

1,2,4,8,277,554,1108,2216

Greatest Common Factor

We found the factors 7372,2216 . The biggest common factor number is the GCF number.
So the greatest common factor 7372,2216 is 4.

Lets's calculate LCM of 748,879

Given numbers has no common factors except 1. So, there LCM is their product i.e 657492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/657492

Therefore, the GCF of Fractions 7372/748,2216/879 is 4/657492

Least Common Multiple of 748,879 with GCF Formula

Least Common Multiple of 748,879 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 748,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,879) = 1

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

GCF(748,879) x common factors =1 x 1 = 1

LCM(748,879) = ( 748 × 879 ) / 1

LCM(748,879) = 657492 / 1

LCM(748,879) = 657492


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 7372/748, 2216/879

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 7372/748, 2216/879?

Answer: GCF of Numerators as per given numbers 7372/748, 2216/879 is

GCF of Numerators i.e. for 7372,2216 is 4

LCM of denominators i.e. for 748,879 is 657492.

Thus, GCF of Fractions is 4/657492.Finally, GCF of Fractions for 7372/748, 2216/879 is 4/657492.