Greatest Common Factor of 2480/11, 5668/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2480/11, 5668/187

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 2480/11,5668/187

Given fractions are 2480/11,5668/187

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 2480,5668

Greatest Common Factor of Numerators i.e. GCF of 2480,5668 is 4 .

LCM of Denominators means LCM of 11,187 as per the given fractions.

LCM of 11,187 is 187 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2480,5668

GCF of Fractions 2480/11,5668/187 is 4/187

2 2480, 5668
2 1240, 2834
620, 1417

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2480,5668 By Matching Biggest Common Factor Method

Greatest Common Factor of 2480,5668 By Matching Biggest Common Factor Method

Factors of 2480

List of positive integer factors of 2480 that divides 2480 without a remainder.

1,2,4,5,8,10,16,20,31,40,62,80,124,155,248,310,496,620,1240,2480

Factors of 5668

List of positive integer factors of 5668 that divides 5668 without a remainder.

1,2,4,13,26,52,109,218,436,1417,2834,5668

Greatest Common Factor

We found the factors 2480,5668 . The biggest common factor number is the GCF number.
So the greatest common factor 2480,5668 is 4.

Lets's calculate LCM of 11,187

11 11, 187
1, 17

∴ So the LCM of the given numbers is 11 x 1 x 17 = 187

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/187

Therefore, the GCF of Fractions 2480/11,5668/187 is 4/187

Least Common Multiple of 11,187 with GCF Formula

Least Common Multiple of 11,187 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 11,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,187) = 11

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

GCF(11,187) x common factors =11 x 1 = 11

LCM(11,187) = ( 11 × 187 ) / 11

LCM(11,187) = 2057 / 11

LCM(11,187) = 187


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 2480/11, 5668/187

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 2480/11, 5668/187?

Answer: GCF of Numerators as per given numbers 2480/11, 5668/187 is

GCF of Numerators i.e. for 2480,5668 is 4

LCM of denominators i.e. for 11,187 is 187.

Thus, GCF of Fractions is 4/187.Finally, GCF of Fractions for 2480/11, 5668/187 is 4/187.