Greatest Common Factor of 2554/741, 3136/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2554/741, 3136/989

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 2554/741,3136/989

Given fractions are 2554/741,3136/989

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 2554,3136

Greatest Common Factor of Numerators i.e. GCF of 2554,3136 is 2 .

LCM of Denominators means LCM of 741,989 as per the given fractions.

LCM of 741,989 is 732849 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2554,3136

GCF of Fractions 2554/741,3136/989 is 2/732849

2 2554, 3136
1277, 1568

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

Greatest Common Factor of 2554,3136 By Matching Biggest Common Factor Method

Greatest Common Factor of 2554,3136 By Matching Biggest Common Factor Method

Factors of 2554

List of positive integer factors of 2554 that divides 2554 without a remainder.

1,2,1277,2554

Factors of 3136

List of positive integer factors of 3136 that divides 3136 without a remainder.

1,2,4,7,8,14,16,28,32,49,56,64,98,112,196,224,392,448,784,1568,3136

Greatest Common Factor

We found the factors 2554,3136 . The biggest common factor number is the GCF number.
So the greatest common factor 2554,3136 is 2.

Lets's calculate LCM of 741,989

Given numbers has no common factors except 1. So, there LCM is their product i.e 732849

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/732849

Therefore, the GCF of Fractions 2554/741,3136/989 is 2/732849

Least Common Multiple of 741,989 with GCF Formula

Least Common Multiple of 741,989 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 741,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,989) = 1

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

GCF(741,989) x common factors =1 x 1 = 1

LCM(741,989) = ( 741 × 989 ) / 1

LCM(741,989) = 732849 / 1

LCM(741,989) = 732849


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 2554/741, 3136/989

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 2554/741, 3136/989?

Answer: GCF of Numerators as per given numbers 2554/741, 3136/989 is

GCF of Numerators i.e. for 2554,3136 is 2

LCM of denominators i.e. for 741,989 is 732849.

Thus, GCF of Fractions is 2/732849.Finally, GCF of Fractions for 2554/741, 3136/989 is 2/732849.