Greatest Common Factor of 5621/304, 7290/5968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5621/304, 7290/5968

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 5621/304,7290/5968

Given fractions are 5621/304,7290/5968

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 5621,7290

Greatest Common Factor of Numerators i.e. GCF of 5621,7290 is 1 .

LCM of Denominators means LCM of 304,5968 as per the given fractions.

LCM of 304,5968 is 113392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5621,7290

GCF of Fractions 5621/304,7290/5968 is 1/113392

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5621,7290 By Matching Biggest Common Factor Method

Greatest Common Factor of 5621,7290 By Matching Biggest Common Factor Method

Factors of 5621

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

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

Factors of 7290

List of positive integer factors of 7290 that divides 7290 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,729,810,1215,1458,2430,3645,7290

Greatest Common Factor

We found the factors 5621,7290 . The biggest common factor number is the GCF number.
So the greatest common factor 5621,7290 is 1.

Lets's calculate LCM of 304,5968

2 304, 5968
2 152, 2984
2 76, 1492
2 38, 746
19, 373

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 19 x 373 = 113392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113392

Therefore, the GCF of Fractions 5621/304,7290/5968 is 1/113392

Least Common Multiple of 304,5968 with GCF Formula

Least Common Multiple of 304,5968 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 304,5968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,5968) = 16

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

GCF(304,5968) x common factors =16 x 1 = 16

LCM(304,5968) = ( 304 × 5968 ) / 16

LCM(304,5968) = 1814272 / 16

LCM(304,5968) = 113392


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 5621/304, 7290/5968

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 5621/304, 7290/5968?

Answer: GCF of Numerators as per given numbers 5621/304, 7290/5968 is

GCF of Numerators i.e. for 5621,7290 is 1

LCM of denominators i.e. for 304,5968 is 113392.

Thus, GCF of Fractions is 1/113392.Finally, GCF of Fractions for 5621/304, 7290/5968 is 1/113392.