Greatest Common Factor of 7362/44, 7222/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7362/44, 7222/976

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 7362/44,7222/976

Given fractions are 7362/44,7222/976

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 7362,7222

Greatest Common Factor of Numerators i.e. GCF of 7362,7222 is 2 .

LCM of Denominators means LCM of 44,976 as per the given fractions.

LCM of 44,976 is 10736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7362,7222

GCF of Fractions 7362/44,7222/976 is 2/10736

2 7362, 7222
3681, 3611

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

Greatest Common Factor of 7362,7222 By Matching Biggest Common Factor Method

Greatest Common Factor of 7362,7222 By Matching Biggest Common Factor Method

Factors of 7362

List of positive integer factors of 7362 that divides 7362 without a remainder.

1,2,3,6,9,18,409,818,1227,2454,3681,7362

Factors of 7222

List of positive integer factors of 7222 that divides 7222 without a remainder.

1,2,23,46,157,314,3611,7222

Greatest Common Factor

We found the factors 7362,7222 . The biggest common factor number is the GCF number.
So the greatest common factor 7362,7222 is 2.

Lets's calculate LCM of 44,976

2 44, 976
2 22, 488
11, 244

∴ So the LCM of the given numbers is 2 x 2 x 11 x 244 = 10736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10736

Therefore, the GCF of Fractions 7362/44,7222/976 is 2/10736

Least Common Multiple of 44,976 with GCF Formula

Least Common Multiple of 44,976 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 44,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,976) = 4

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

GCF(44,976) x common factors =4 x 1 = 4

LCM(44,976) = ( 44 × 976 ) / 4

LCM(44,976) = 42944 / 4

LCM(44,976) = 10736


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 7362/44, 7222/976

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 7362/44, 7222/976?

Answer: GCF of Numerators as per given numbers 7362/44, 7222/976 is

GCF of Numerators i.e. for 7362,7222 is 2

LCM of denominators i.e. for 44,976 is 10736.

Thus, GCF of Fractions is 2/10736.Finally, GCF of Fractions for 7362/44, 7222/976 is 2/10736.