Greatest Common Factor of 5839/674, 2580/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5839/674, 2580/914

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 5839/674,2580/914

Given fractions are 5839/674,2580/914

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 5839,2580

Greatest Common Factor of Numerators i.e. GCF of 5839,2580 is 1 .

LCM of Denominators means LCM of 674,914 as per the given fractions.

LCM of 674,914 is 308018 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5839,2580

GCF of Fractions 5839/674,2580/914 is 1/308018

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

Greatest Common Factor of 5839,2580 By Matching Biggest Common Factor Method

Greatest Common Factor of 5839,2580 By Matching Biggest Common Factor Method

Factors of 5839

List of positive integer factors of 5839 that divides 5839 without a remainder.

1,5839

Factors of 2580

List of positive integer factors of 2580 that divides 2580 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,43,60,86,129,172,215,258,430,516,645,860,1290,2580

Greatest Common Factor

We found the factors 5839,2580 . The biggest common factor number is the GCF number.
So the greatest common factor 5839,2580 is 1.

Lets's calculate LCM of 674,914

2 674, 914
337, 457

∴ So the LCM of the given numbers is 2 x 337 x 457 = 308018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308018

Therefore, the GCF of Fractions 5839/674,2580/914 is 1/308018

Least Common Multiple of 674,914 with GCF Formula

Least Common Multiple of 674,914 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 674,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,914) = 2

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

GCF(674,914) x common factors =2 x 1 = 2

LCM(674,914) = ( 674 × 914 ) / 2

LCM(674,914) = 616036 / 2

LCM(674,914) = 308018


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 5839/674, 2580/914

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 5839/674, 2580/914?

Answer: GCF of Numerators as per given numbers 5839/674, 2580/914 is

GCF of Numerators i.e. for 5839,2580 is 1

LCM of denominators i.e. for 674,914 is 308018.

Thus, GCF of Fractions is 1/308018.Finally, GCF of Fractions for 5839/674, 2580/914 is 1/308018.