Greatest Common Factor of 1343/338, 5603/7616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1343/338, 5603/7616

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 1343/338,5603/7616

Given fractions are 1343/338,5603/7616

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 1343,5603

Greatest Common Factor of Numerators i.e. GCF of 1343,5603 is 1 .

LCM of Denominators means LCM of 338,7616 as per the given fractions.

LCM of 338,7616 is 1287104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1343,5603

GCF of Fractions 1343/338,5603/7616 is 1/1287104

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

Greatest Common Factor of 1343,5603 By Matching Biggest Common Factor Method

Greatest Common Factor of 1343,5603 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 5603

List of positive integer factors of 5603 that divides 5603 without a remainder.

1,13,431,5603

Greatest Common Factor

We found the factors 1343,5603 . The biggest common factor number is the GCF number.
So the greatest common factor 1343,5603 is 1.

Lets's calculate LCM of 338,7616

2 338, 7616
169, 3808

∴ So the LCM of the given numbers is 2 x 169 x 3808 = 1287104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1287104

Therefore, the GCF of Fractions 1343/338,5603/7616 is 1/1287104

Least Common Multiple of 338,7616 with GCF Formula

Least Common Multiple of 338,7616 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 338,7616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,7616) = 2

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

GCF(338,7616) x common factors =2 x 1 = 2

LCM(338,7616) = ( 338 × 7616 ) / 2

LCM(338,7616) = 2574208 / 2

LCM(338,7616) = 1287104


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 1343/338, 5603/7616

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 1343/338, 5603/7616?

Answer: GCF of Numerators as per given numbers 1343/338, 5603/7616 is

GCF of Numerators i.e. for 1343,5603 is 1

LCM of denominators i.e. for 338,7616 is 1287104.

Thus, GCF of Fractions is 1/1287104.Finally, GCF of Fractions for 1343/338, 5603/7616 is 1/1287104.