Greatest Common Factor of 5876/254, 1989/6033

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5876/254, 1989/6033

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 5876/254,1989/6033

Given fractions are 5876/254,1989/6033

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 5876,1989

Greatest Common Factor of Numerators i.e. GCF of 5876,1989 is 13 .

LCM of Denominators means LCM of 254,6033 as per the given fractions.

LCM of 254,6033 is 1532382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5876,1989

GCF of Fractions 5876/254,1989/6033 is 13/1532382

13 5876, 1989
452, 153

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 5876,1989 By Matching Biggest Common Factor Method

Greatest Common Factor of 5876,1989 By Matching Biggest Common Factor Method

Factors of 5876

List of positive integer factors of 5876 that divides 5876 without a remainder.

1,2,4,13,26,52,113,226,452,1469,2938,5876

Factors of 1989

List of positive integer factors of 1989 that divides 1989 without a remainder.

1,3,9,13,17,39,51,117,153,221,663,1989

Greatest Common Factor

We found the factors 5876,1989 . The biggest common factor number is the GCF number.
So the greatest common factor 5876,1989 is 13.

Lets's calculate LCM of 254,6033

Given numbers has no common factors except 1. So, there LCM is their product i.e 1532382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1532382

Therefore, the GCF of Fractions 5876/254,1989/6033 is 13/1532382

Least Common Multiple of 254,6033 with GCF Formula

Least Common Multiple of 254,6033 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 254,6033 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,6033) = 1

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

GCF(254,6033) x common factors =1 x 1 = 1

LCM(254,6033) = ( 254 × 6033 ) / 1

LCM(254,6033) = 1532382 / 1

LCM(254,6033) = 1532382


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 5876/254, 1989/6033

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 5876/254, 1989/6033?

Answer: GCF of Numerators as per given numbers 5876/254, 1989/6033 is

GCF of Numerators i.e. for 5876,1989 is 13

LCM of denominators i.e. for 254,6033 is 1532382.

Thus, GCF of Fractions is 13/1532382.Finally, GCF of Fractions for 5876/254, 1989/6033 is 13/1532382.