Greatest Common Factor of 5476/217, 5887/4892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5476/217, 5887/4892

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 5476/217,5887/4892

Given fractions are 5476/217,5887/4892

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 5476,5887

Greatest Common Factor of Numerators i.e. GCF of 5476,5887 is 1 .

LCM of Denominators means LCM of 217,4892 as per the given fractions.

LCM of 217,4892 is 1061564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5476,5887

GCF of Fractions 5476/217,5887/4892 is 1/1061564

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

Greatest Common Factor of 5476,5887 By Matching Biggest Common Factor Method

Greatest Common Factor of 5476,5887 By Matching Biggest Common Factor Method

Factors of 5476

List of positive integer factors of 5476 that divides 5476 without a remainder.

1,2,4,37,74,148,1369,2738,5476

Factors of 5887

List of positive integer factors of 5887 that divides 5887 without a remainder.

1,7,29,203,841,5887

Greatest Common Factor

We found the factors 5476,5887 . The biggest common factor number is the GCF number.
So the greatest common factor 5476,5887 is 1.

Lets's calculate LCM of 217,4892

Given numbers has no common factors except 1. So, there LCM is their product i.e 1061564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1061564

Therefore, the GCF of Fractions 5476/217,5887/4892 is 1/1061564

Least Common Multiple of 217,4892 with GCF Formula

Least Common Multiple of 217,4892 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 217,4892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,4892) = 1

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

GCF(217,4892) x common factors =1 x 1 = 1

LCM(217,4892) = ( 217 × 4892 ) / 1

LCM(217,4892) = 1061564 / 1

LCM(217,4892) = 1061564


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 5476/217, 5887/4892

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 5476/217, 5887/4892?

Answer: GCF of Numerators as per given numbers 5476/217, 5887/4892 is

GCF of Numerators i.e. for 5476,5887 is 1

LCM of denominators i.e. for 217,4892 is 1061564.

Thus, GCF of Fractions is 1/1061564.Finally, GCF of Fractions for 5476/217, 5887/4892 is 1/1061564.