Greatest Common Factor of 5180/59, 1120/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5180/59, 1120/856

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 5180/59,1120/856

Given fractions are 5180/59,1120/856

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 5180,1120

Greatest Common Factor of Numerators i.e. GCF of 5180,1120 is 140 .

LCM of Denominators means LCM of 59,856 as per the given fractions.

LCM of 59,856 is 50504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5180,1120

GCF of Fractions 5180/59,1120/856 is 140/50504

2 5180, 1120
2 2590, 560
5 1295, 280
7 259, 56
37, 8

∴ So the GCF of the given numbers is 2 x 2 x 5 x 7 = 140

Greatest Common Factor of 5180,1120 By Matching Biggest Common Factor Method

Greatest Common Factor of 5180,1120 By Matching Biggest Common Factor Method

Factors of 5180

List of positive integer factors of 5180 that divides 5180 without a remainder.

1,2,4,5,7,10,14,20,28,35,37,70,74,140,148,185,259,370,518,740,1036,1295,2590,5180

Factors of 1120

List of positive integer factors of 1120 that divides 1120 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,70,80,112,140,160,224,280,560,1120

Greatest Common Factor

We found the factors 5180,1120 . The biggest common factor number is the GCF number.
So the greatest common factor 5180,1120 is 140.

Lets's calculate LCM of 59,856

Given numbers has no common factors except 1. So, there LCM is their product i.e 50504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 140/50504

Therefore, the GCF of Fractions 5180/59,1120/856 is 140/50504

Least Common Multiple of 59,856 with GCF Formula

Least Common Multiple of 59,856 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 59,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,856) = 1

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

GCF(59,856) x common factors =1 x 1 = 1

LCM(59,856) = ( 59 × 856 ) / 1

LCM(59,856) = 50504 / 1

LCM(59,856) = 50504


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 5180/59, 1120/856

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 5180/59, 1120/856?

Answer: GCF of Numerators as per given numbers 5180/59, 1120/856 is

GCF of Numerators i.e. for 5180,1120 is 140

LCM of denominators i.e. for 59,856 is 50504.

Thus, GCF of Fractions is 140/50504.Finally, GCF of Fractions for 5180/59, 1120/856 is 140/50504.