Greatest Common Factor of 1343/718, 2606/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1343/718, 2606/103

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 1343/718,2606/103

Given fractions are 1343/718,2606/103

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 1343,2606

Greatest Common Factor of Numerators i.e. GCF of 1343,2606 is 1 .

LCM of Denominators means LCM of 718,103 as per the given fractions.

LCM of 718,103 is 73954 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1343,2606

GCF of Fractions 1343/718,2606/103 is 1/73954

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

Greatest Common Factor of 1343,2606 By Matching Biggest Common Factor Method

Greatest Common Factor of 1343,2606 By Matching Biggest Common Factor Method

Factors of 1343

List of positive integer factors of 1343 that divides 1343 without a remainder.

1,17,79,1343

Factors of 2606

List of positive integer factors of 2606 that divides 2606 without a remainder.

1,2,1303,2606

Greatest Common Factor

We found the factors 1343,2606 . The biggest common factor number is the GCF number.
So the greatest common factor 1343,2606 is 1.

Lets's calculate LCM of 718,103

Given numbers has no common factors except 1. So, there LCM is their product i.e 73954

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73954

Therefore, the GCF of Fractions 1343/718,2606/103 is 1/73954

Least Common Multiple of 718,103 with GCF Formula

Least Common Multiple of 718,103 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 718,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,103) = 1

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

GCF(718,103) x common factors =1 x 1 = 1

LCM(718,103) = ( 718 × 103 ) / 1

LCM(718,103) = 73954 / 1

LCM(718,103) = 73954


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 1343/718, 2606/103

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 1343/718, 2606/103?

Answer: GCF of Numerators as per given numbers 1343/718, 2606/103 is

GCF of Numerators i.e. for 1343,2606 is 1

LCM of denominators i.e. for 718,103 is 73954.

Thus, GCF of Fractions is 1/73954.Finally, GCF of Fractions for 1343/718, 2606/103 is 1/73954.