Greatest Common Factor of 2180/175, 5356/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2180/175, 5356/515

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 2180/175,5356/515

Given fractions are 2180/175,5356/515

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 2180,5356

Greatest Common Factor of Numerators i.e. GCF of 2180,5356 is 4 .

LCM of Denominators means LCM of 175,515 as per the given fractions.

LCM of 175,515 is 18025 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2180,5356

GCF of Fractions 2180/175,5356/515 is 4/18025

2 2180, 5356
2 1090, 2678
545, 1339

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

Greatest Common Factor of 2180,5356 By Matching Biggest Common Factor Method

Greatest Common Factor of 2180,5356 By Matching Biggest Common Factor Method

Factors of 2180

List of positive integer factors of 2180 that divides 2180 without a remainder.

1,2,4,5,10,20,109,218,436,545,1090,2180

Factors of 5356

List of positive integer factors of 5356 that divides 5356 without a remainder.

1,2,4,13,26,52,103,206,412,1339,2678,5356

Greatest Common Factor

We found the factors 2180,5356 . The biggest common factor number is the GCF number.
So the greatest common factor 2180,5356 is 4.

Lets's calculate LCM of 175,515

5 175, 515
35, 103

∴ So the LCM of the given numbers is 5 x 35 x 103 = 18025

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/18025

Therefore, the GCF of Fractions 2180/175,5356/515 is 4/18025

Least Common Multiple of 175,515 with GCF Formula

Least Common Multiple of 175,515 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 175,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,515) = 5

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

GCF(175,515) x common factors =5 x 1 = 5

LCM(175,515) = ( 175 × 515 ) / 5

LCM(175,515) = 90125 / 5

LCM(175,515) = 18025


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 2180/175, 5356/515

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 2180/175, 5356/515?

Answer: GCF of Numerators as per given numbers 2180/175, 5356/515 is

GCF of Numerators i.e. for 2180,5356 is 4

LCM of denominators i.e. for 175,515 is 18025.

Thus, GCF of Fractions is 4/18025.Finally, GCF of Fractions for 2180/175, 5356/515 is 4/18025.