Greatest Common Factor of 5887/280, 8853/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5887/280, 8853/680

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 5887/280,8853/680

Given fractions are 5887/280,8853/680

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 5887,8853

Greatest Common Factor of Numerators i.e. GCF of 5887,8853 is 1 .

LCM of Denominators means LCM of 280,680 as per the given fractions.

LCM of 280,680 is 4760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5887,8853

GCF of Fractions 5887/280,8853/680 is 1/4760

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

Greatest Common Factor of 5887,8853 By Matching Biggest Common Factor Method

Greatest Common Factor of 5887,8853 By Matching Biggest Common Factor Method

Factors of 5887

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

1,7,29,203,841,5887

Factors of 8853

List of positive integer factors of 8853 that divides 8853 without a remainder.

1,3,13,39,227,681,2951,8853

Greatest Common Factor

We found the factors 5887,8853 . The biggest common factor number is the GCF number.
So the greatest common factor 5887,8853 is 1.

Lets's calculate LCM of 280,680

2 280, 680
2 140, 340
2 70, 170
5 35, 85
7, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 17 = 4760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4760

Therefore, the GCF of Fractions 5887/280,8853/680 is 1/4760

Least Common Multiple of 280,680 with GCF Formula

Least Common Multiple of 280,680 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 280,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,680) = 40

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

GCF(280,680) x common factors =40 x 1 = 40

LCM(280,680) = ( 280 × 680 ) / 40

LCM(280,680) = 190400 / 40

LCM(280,680) = 4760


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 5887/280, 8853/680

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 5887/280, 8853/680?

Answer: GCF of Numerators as per given numbers 5887/280, 8853/680 is

GCF of Numerators i.e. for 5887,8853 is 1

LCM of denominators i.e. for 280,680 is 4760.

Thus, GCF of Fractions is 1/4760.Finally, GCF of Fractions for 5887/280, 8853/680 is 1/4760.