Greatest Common Factor of 9016/137, 6104/1866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9016/137, 6104/1866

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 9016/137,6104/1866

Given fractions are 9016/137,6104/1866

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 9016,6104

Greatest Common Factor of Numerators i.e. GCF of 9016,6104 is 56 .

LCM of Denominators means LCM of 137,1866 as per the given fractions.

LCM of 137,1866 is 255642 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9016,6104

GCF of Fractions 9016/137,6104/1866 is 56/255642

2 9016, 6104
2 4508, 3052
2 2254, 1526
7 1127, 763
161, 109

∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56

Greatest Common Factor of 9016,6104 By Matching Biggest Common Factor Method

Greatest Common Factor of 9016,6104 By Matching Biggest Common Factor Method

Factors of 9016

List of positive integer factors of 9016 that divides 9016 without a remainder.

1,2,4,7,8,14,23,28,46,49,56,92,98,161,184,196,322,392,644,1127,1288,2254,4508,9016

Factors of 6104

List of positive integer factors of 6104 that divides 6104 without a remainder.

1,2,4,7,8,14,28,56,109,218,436,763,872,1526,3052,6104

Greatest Common Factor

We found the factors 9016,6104 . The biggest common factor number is the GCF number.
So the greatest common factor 9016,6104 is 56.

Lets's calculate LCM of 137,1866

Given numbers has no common factors except 1. So, there LCM is their product i.e 255642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/255642

Therefore, the GCF of Fractions 9016/137,6104/1866 is 56/255642

Least Common Multiple of 137,1866 with GCF Formula

Least Common Multiple of 137,1866 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 137,1866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,1866) = 1

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

GCF(137,1866) x common factors =1 x 1 = 1

LCM(137,1866) = ( 137 × 1866 ) / 1

LCM(137,1866) = 255642 / 1

LCM(137,1866) = 255642


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 9016/137, 6104/1866

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 9016/137, 6104/1866?

Answer: GCF of Numerators as per given numbers 9016/137, 6104/1866 is

GCF of Numerators i.e. for 9016,6104 is 56

LCM of denominators i.e. for 137,1866 is 255642.

Thus, GCF of Fractions is 56/255642.Finally, GCF of Fractions for 9016/137, 6104/1866 is 56/255642.