Greatest Common Factor of 2589/416, 5253/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2589/416, 5253/505

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 2589/416,5253/505

Given fractions are 2589/416,5253/505

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 2589,5253

Greatest Common Factor of Numerators i.e. GCF of 2589,5253 is 3 .

LCM of Denominators means LCM of 416,505 as per the given fractions.

LCM of 416,505 is 210080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2589,5253

GCF of Fractions 2589/416,5253/505 is 3/210080

3 2589, 5253
863, 1751

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2589,5253 By Matching Biggest Common Factor Method

Greatest Common Factor of 2589,5253 By Matching Biggest Common Factor Method

Factors of 2589

List of positive integer factors of 2589 that divides 2589 without a remainder.

1,3,863,2589

Factors of 5253

List of positive integer factors of 5253 that divides 5253 without a remainder.

1,3,17,51,103,309,1751,5253

Greatest Common Factor

We found the factors 2589,5253 . The biggest common factor number is the GCF number.
So the greatest common factor 2589,5253 is 3.

Lets's calculate LCM of 416,505

Given numbers has no common factors except 1. So, there LCM is their product i.e 210080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/210080

Therefore, the GCF of Fractions 2589/416,5253/505 is 3/210080

Least Common Multiple of 416,505 with GCF Formula

Least Common Multiple of 416,505 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 416,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,505) = 1

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

GCF(416,505) x common factors =1 x 1 = 1

LCM(416,505) = ( 416 × 505 ) / 1

LCM(416,505) = 210080 / 1

LCM(416,505) = 210080


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 2589/416, 5253/505

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 2589/416, 5253/505?

Answer: GCF of Numerators as per given numbers 2589/416, 5253/505 is

GCF of Numerators i.e. for 2589,5253 is 3

LCM of denominators i.e. for 416,505 is 210080.

Thus, GCF of Fractions is 3/210080.Finally, GCF of Fractions for 2589/416, 5253/505 is 3/210080.