Greatest Common Factor of 2555/189, 6160/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2555/189, 6160/756

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 2555/189,6160/756

Given fractions are 2555/189,6160/756

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 2555,6160

Greatest Common Factor of Numerators i.e. GCF of 2555,6160 is 35 .

LCM of Denominators means LCM of 189,756 as per the given fractions.

LCM of 189,756 is 756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2555,6160

GCF of Fractions 2555/189,6160/756 is 35/756

5 2555, 6160
7 511, 1232
73, 176

∴ So the GCF of the given numbers is 5 x 7 = 35

Greatest Common Factor of 2555,6160 By Matching Biggest Common Factor Method

Greatest Common Factor of 2555,6160 By Matching Biggest Common Factor Method

Factors of 2555

List of positive integer factors of 2555 that divides 2555 without a remainder.

1,5,7,35,73,365,511,2555

Factors of 6160

List of positive integer factors of 6160 that divides 6160 without a remainder.

1,2,4,5,7,8,10,11,14,16,20,22,28,35,40,44,55,56,70,77,80,88,110,112,140,154,176,220,280,308,385,440,560,616,770,880,1232,1540,3080,6160

Greatest Common Factor

We found the factors 2555,6160 . The biggest common factor number is the GCF number.
So the greatest common factor 2555,6160 is 35.

Lets's calculate LCM of 189,756

3 189, 756
3 63, 252
3 21, 84
7 7, 28
1, 4

∴ So the LCM of the given numbers is 3 x 3 x 3 x 7 x 1 x 4 = 756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/756

Therefore, the GCF of Fractions 2555/189,6160/756 is 35/756

Least Common Multiple of 189,756 with GCF Formula

Least Common Multiple of 189,756 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 189,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,756) = 189

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

GCF(189,756) x common factors =189 x 1 = 189

LCM(189,756) = ( 189 × 756 ) / 189

LCM(189,756) = 142884 / 189

LCM(189,756) = 756


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 2555/189, 6160/756

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 2555/189, 6160/756?

Answer: GCF of Numerators as per given numbers 2555/189, 6160/756 is

GCF of Numerators i.e. for 2555,6160 is 35

LCM of denominators i.e. for 189,756 is 756.

Thus, GCF of Fractions is 35/756.Finally, GCF of Fractions for 2555/189, 6160/756 is 35/756.