Greatest Common Factor of 5255/89, 5759/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5255/89, 5759/801

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 5255/89,5759/801

Given fractions are 5255/89,5759/801

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 5255,5759

Greatest Common Factor of Numerators i.e. GCF of 5255,5759 is 1 .

LCM of Denominators means LCM of 89,801 as per the given fractions.

LCM of 89,801 is 801 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5255,5759

GCF of Fractions 5255/89,5759/801 is 1/801

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

Greatest Common Factor of 5255,5759 By Matching Biggest Common Factor Method

Greatest Common Factor of 5255,5759 By Matching Biggest Common Factor Method

Factors of 5255

List of positive integer factors of 5255 that divides 5255 without a remainder.

1,5,1051,5255

Factors of 5759

List of positive integer factors of 5759 that divides 5759 without a remainder.

1,13,443,5759

Greatest Common Factor

We found the factors 5255,5759 . The biggest common factor number is the GCF number.
So the greatest common factor 5255,5759 is 1.

Lets's calculate LCM of 89,801

89 89, 801
1, 9

∴ So the LCM of the given numbers is 89 x 1 x 9 = 801

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/801

Therefore, the GCF of Fractions 5255/89,5759/801 is 1/801

Least Common Multiple of 89,801 with GCF Formula

Least Common Multiple of 89,801 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 89,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,801) = 89

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

GCF(89,801) x common factors =89 x 1 = 89

LCM(89,801) = ( 89 × 801 ) / 89

LCM(89,801) = 71289 / 89

LCM(89,801) = 801


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 5255/89, 5759/801

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 5255/89, 5759/801?

Answer: GCF of Numerators as per given numbers 5255/89, 5759/801 is

GCF of Numerators i.e. for 5255,5759 is 1

LCM of denominators i.e. for 89,801 is 801.

Thus, GCF of Fractions is 1/801.Finally, GCF of Fractions for 5255/89, 5759/801 is 1/801.