Greatest Common Factor of 2718/703, 1838/5679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2718/703, 1838/5679

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 2718/703,1838/5679

Given fractions are 2718/703,1838/5679

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 2718,1838

Greatest Common Factor of Numerators i.e. GCF of 2718,1838 is 2 .

LCM of Denominators means LCM of 703,5679 as per the given fractions.

LCM of 703,5679 is 3992337 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2718,1838

GCF of Fractions 2718/703,1838/5679 is 2/3992337

2 2718, 1838
1359, 919

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2718,1838 By Matching Biggest Common Factor Method

Greatest Common Factor of 2718,1838 By Matching Biggest Common Factor Method

Factors of 2718

List of positive integer factors of 2718 that divides 2718 without a remainder.

1,2,3,6,9,18,151,302,453,906,1359,2718

Factors of 1838

List of positive integer factors of 1838 that divides 1838 without a remainder.

1,2,919,1838

Greatest Common Factor

We found the factors 2718,1838 . The biggest common factor number is the GCF number.
So the greatest common factor 2718,1838 is 2.

Lets's calculate LCM of 703,5679

Given numbers has no common factors except 1. So, there LCM is their product i.e 3992337

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3992337

Therefore, the GCF of Fractions 2718/703,1838/5679 is 2/3992337

Least Common Multiple of 703,5679 with GCF Formula

Least Common Multiple of 703,5679 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 703,5679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,5679) = 1

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

GCF(703,5679) x common factors =1 x 1 = 1

LCM(703,5679) = ( 703 × 5679 ) / 1

LCM(703,5679) = 3992337 / 1

LCM(703,5679) = 3992337


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 2718/703, 1838/5679

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 2718/703, 1838/5679?

Answer: GCF of Numerators as per given numbers 2718/703, 1838/5679 is

GCF of Numerators i.e. for 2718,1838 is 2

LCM of denominators i.e. for 703,5679 is 3992337.

Thus, GCF of Fractions is 2/3992337.Finally, GCF of Fractions for 2718/703, 1838/5679 is 2/3992337.