Greatest Common Factor of 4777/590, 3810/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4777/590, 3810/876

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 4777/590,3810/876

Given fractions are 4777/590,3810/876

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 4777,3810

Greatest Common Factor of Numerators i.e. GCF of 4777,3810 is 1 .

LCM of Denominators means LCM of 590,876 as per the given fractions.

LCM of 590,876 is 258420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4777,3810

GCF of Fractions 4777/590,3810/876 is 1/258420

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

Greatest Common Factor of 4777,3810 By Matching Biggest Common Factor Method

Greatest Common Factor of 4777,3810 By Matching Biggest Common Factor Method

Factors of 4777

List of positive integer factors of 4777 that divides 4777 without a remainder.

1,17,281,4777

Factors of 3810

List of positive integer factors of 3810 that divides 3810 without a remainder.

1,2,3,5,6,10,15,30,127,254,381,635,762,1270,1905,3810

Greatest Common Factor

We found the factors 4777,3810 . The biggest common factor number is the GCF number.
So the greatest common factor 4777,3810 is 1.

Lets's calculate LCM of 590,876

2 590, 876
295, 438

∴ So the LCM of the given numbers is 2 x 295 x 438 = 258420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/258420

Therefore, the GCF of Fractions 4777/590,3810/876 is 1/258420

Least Common Multiple of 590,876 with GCF Formula

Least Common Multiple of 590,876 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 590,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(590,876) = 2

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

GCF(590,876) x common factors =2 x 1 = 2

LCM(590,876) = ( 590 × 876 ) / 2

LCM(590,876) = 516840 / 2

LCM(590,876) = 258420


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 4777/590, 3810/876

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 4777/590, 3810/876?

Answer: GCF of Numerators as per given numbers 4777/590, 3810/876 is

GCF of Numerators i.e. for 4777,3810 is 1

LCM of denominators i.e. for 590,876 is 258420.

Thus, GCF of Fractions is 1/258420.Finally, GCF of Fractions for 4777/590, 3810/876 is 1/258420.