Greatest Common Factor of 274/246, 5634/9079

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 274/246, 5634/9079

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 274/246,5634/9079

Given fractions are 274/246,5634/9079

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 274,5634

Greatest Common Factor of Numerators i.e. GCF of 274,5634 is 2 .

LCM of Denominators means LCM of 246,9079 as per the given fractions.

LCM of 246,9079 is 2233434 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 274,5634

GCF of Fractions 274/246,5634/9079 is 2/2233434

2 274, 5634
137, 2817

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

Greatest Common Factor of 274,5634 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,5634 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 5634

List of positive integer factors of 5634 that divides 5634 without a remainder.

1,2,3,6,9,18,313,626,939,1878,2817,5634

Greatest Common Factor

We found the factors 274,5634 . The biggest common factor number is the GCF number.
So the greatest common factor 274,5634 is 2.

Lets's calculate LCM of 246,9079

Given numbers has no common factors except 1. So, there LCM is their product i.e 2233434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2233434

Therefore, the GCF of Fractions 274/246,5634/9079 is 2/2233434

Least Common Multiple of 246,9079 with GCF Formula

Least Common Multiple of 246,9079 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 246,9079 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(246,9079) = 1

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

GCF(246,9079) x common factors =1 x 1 = 1

LCM(246,9079) = ( 246 × 9079 ) / 1

LCM(246,9079) = 2233434 / 1

LCM(246,9079) = 2233434


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 274/246, 5634/9079

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 274/246, 5634/9079?

Answer: GCF of Numerators as per given numbers 274/246, 5634/9079 is

GCF of Numerators i.e. for 274,5634 is 2

LCM of denominators i.e. for 246,9079 is 2233434.

Thus, GCF of Fractions is 2/2233434.Finally, GCF of Fractions for 274/246, 5634/9079 is 2/2233434.