Greatest Common Factor of 5694/90, 5621/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5694/90, 5621/299

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 5694/90,5621/299

Given fractions are 5694/90,5621/299

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 5694,5621

Greatest Common Factor of Numerators i.e. GCF of 5694,5621 is 73 .

LCM of Denominators means LCM of 90,299 as per the given fractions.

LCM of 90,299 is 26910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5694,5621

GCF of Fractions 5694/90,5621/299 is 73/26910

73 5694, 5621
78, 77

∴ So the GCF of the given numbers is 73 = 73

Greatest Common Factor of 5694,5621 By Matching Biggest Common Factor Method

Greatest Common Factor of 5694,5621 By Matching Biggest Common Factor Method

Factors of 5694

List of positive integer factors of 5694 that divides 5694 without a remainder.

1,2,3,6,13,26,39,73,78,146,219,438,949,1898,2847,5694

Factors of 5621

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

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

Greatest Common Factor

We found the factors 5694,5621 . The biggest common factor number is the GCF number.
So the greatest common factor 5694,5621 is 73.

Lets's calculate LCM of 90,299

Given numbers has no common factors except 1. So, there LCM is their product i.e 26910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 73/26910

Therefore, the GCF of Fractions 5694/90,5621/299 is 73/26910

Least Common Multiple of 90,299 with GCF Formula

Least Common Multiple of 90,299 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 90,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,299) = 1

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

GCF(90,299) x common factors =1 x 1 = 1

LCM(90,299) = ( 90 × 299 ) / 1

LCM(90,299) = 26910 / 1

LCM(90,299) = 26910


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 5694/90, 5621/299

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 5694/90, 5621/299?

Answer: GCF of Numerators as per given numbers 5694/90, 5621/299 is

GCF of Numerators i.e. for 5694,5621 is 73

LCM of denominators i.e. for 90,299 is 26910.

Thus, GCF of Fractions is 73/26910.Finally, GCF of Fractions for 5694/90, 5621/299 is 73/26910.