Greatest Common Factor of 7259/377, 5820/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7259/377, 5820/555

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 7259/377,5820/555

Given fractions are 7259/377,5820/555

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 7259,5820

Greatest Common Factor of Numerators i.e. GCF of 7259,5820 is 1 .

LCM of Denominators means LCM of 377,555 as per the given fractions.

LCM of 377,555 is 209235 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7259,5820

GCF of Fractions 7259/377,5820/555 is 1/209235

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7259,5820 By Matching Biggest Common Factor Method

Greatest Common Factor of 7259,5820 By Matching Biggest Common Factor Method

Factors of 7259

List of positive integer factors of 7259 that divides 7259 without a remainder.

1,7,17,61,119,427,1037,7259

Factors of 5820

List of positive integer factors of 5820 that divides 5820 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,97,194,291,388,485,582,970,1164,1455,1940,2910,5820

Greatest Common Factor

We found the factors 7259,5820 . The biggest common factor number is the GCF number.
So the greatest common factor 7259,5820 is 1.

Lets's calculate LCM of 377,555

Given numbers has no common factors except 1. So, there LCM is their product i.e 209235

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209235

Therefore, the GCF of Fractions 7259/377,5820/555 is 1/209235

Least Common Multiple of 377,555 with GCF Formula

Least Common Multiple of 377,555 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 377,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,555) = 1

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

GCF(377,555) x common factors =1 x 1 = 1

LCM(377,555) = ( 377 × 555 ) / 1

LCM(377,555) = 209235 / 1

LCM(377,555) = 209235


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 7259/377, 5820/555

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 7259/377, 5820/555?

Answer: GCF of Numerators as per given numbers 7259/377, 5820/555 is

GCF of Numerators i.e. for 7259,5820 is 1

LCM of denominators i.e. for 377,555 is 209235.

Thus, GCF of Fractions is 1/209235.Finally, GCF of Fractions for 7259/377, 5820/555 is 1/209235.