Greatest Common Factor of 2242/42, 5494/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2242/42, 5494/975

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 2242/42,5494/975

Given fractions are 2242/42,5494/975

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 2242,5494

Greatest Common Factor of Numerators i.e. GCF of 2242,5494 is 2 .

LCM of Denominators means LCM of 42,975 as per the given fractions.

LCM of 42,975 is 13650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2242,5494

GCF of Fractions 2242/42,5494/975 is 2/13650

2 2242, 5494
1121, 2747

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

Greatest Common Factor of 2242,5494 By Matching Biggest Common Factor Method

Greatest Common Factor of 2242,5494 By Matching Biggest Common Factor Method

Factors of 2242

List of positive integer factors of 2242 that divides 2242 without a remainder.

1,2,19,38,59,118,1121,2242

Factors of 5494

List of positive integer factors of 5494 that divides 5494 without a remainder.

1,2,41,67,82,134,2747,5494

Greatest Common Factor

We found the factors 2242,5494 . The biggest common factor number is the GCF number.
So the greatest common factor 2242,5494 is 2.

Lets's calculate LCM of 42,975

3 42, 975
14, 325

∴ So the LCM of the given numbers is 3 x 14 x 325 = 13650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13650

Therefore, the GCF of Fractions 2242/42,5494/975 is 2/13650

Least Common Multiple of 42,975 with GCF Formula

Least Common Multiple of 42,975 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 42,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,975) = 3

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

GCF(42,975) x common factors =3 x 1 = 3

LCM(42,975) = ( 42 × 975 ) / 3

LCM(42,975) = 40950 / 3

LCM(42,975) = 13650


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 2242/42, 5494/975

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 2242/42, 5494/975?

Answer: GCF of Numerators as per given numbers 2242/42, 5494/975 is

GCF of Numerators i.e. for 2242,5494 is 2

LCM of denominators i.e. for 42,975 is 13650.

Thus, GCF of Fractions is 2/13650.Finally, GCF of Fractions for 2242/42, 5494/975 is 2/13650.