Greatest Common Factor of 4884/600, 1619/8110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4884/600, 1619/8110

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 4884/600,1619/8110

Given fractions are 4884/600,1619/8110

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 4884,1619

Greatest Common Factor of Numerators i.e. GCF of 4884,1619 is 1 .

LCM of Denominators means LCM of 600,8110 as per the given fractions.

LCM of 600,8110 is 486600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4884,1619

GCF of Fractions 4884/600,1619/8110 is 1/486600

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

Greatest Common Factor of 4884,1619 By Matching Biggest Common Factor Method

Greatest Common Factor of 4884,1619 By Matching Biggest Common Factor Method

Factors of 4884

List of positive integer factors of 4884 that divides 4884 without a remainder.

1,2,3,4,6,11,12,22,33,37,44,66,74,111,132,148,222,407,444,814,1221,1628,2442,4884

Factors of 1619

List of positive integer factors of 1619 that divides 1619 without a remainder.

1,1619

Greatest Common Factor

We found the factors 4884,1619 . The biggest common factor number is the GCF number.
So the greatest common factor 4884,1619 is 1.

Lets's calculate LCM of 600,8110

2 600, 8110
5 300, 4055
60, 811

∴ So the LCM of the given numbers is 2 x 5 x 60 x 811 = 486600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/486600

Therefore, the GCF of Fractions 4884/600,1619/8110 is 1/486600

Least Common Multiple of 600,8110 with GCF Formula

Least Common Multiple of 600,8110 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 600,8110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,8110) = 10

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

GCF(600,8110) x common factors =10 x 1 = 10

LCM(600,8110) = ( 600 × 8110 ) / 10

LCM(600,8110) = 4866000 / 10

LCM(600,8110) = 486600


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 4884/600, 1619/8110

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 4884/600, 1619/8110?

Answer: GCF of Numerators as per given numbers 4884/600, 1619/8110 is

GCF of Numerators i.e. for 4884,1619 is 1

LCM of denominators i.e. for 600,8110 is 486600.

Thus, GCF of Fractions is 1/486600.Finally, GCF of Fractions for 4884/600, 1619/8110 is 1/486600.