Greatest Common Factor of 4743/260, 1346/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4743/260, 1346/122

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 4743/260,1346/122

Given fractions are 4743/260,1346/122

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 4743,1346

Greatest Common Factor of Numerators i.e. GCF of 4743,1346 is 1 .

LCM of Denominators means LCM of 260,122 as per the given fractions.

LCM of 260,122 is 15860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4743,1346

GCF of Fractions 4743/260,1346/122 is 1/15860

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

Greatest Common Factor of 4743,1346 By Matching Biggest Common Factor Method

Greatest Common Factor of 4743,1346 By Matching Biggest Common Factor Method

Factors of 4743

List of positive integer factors of 4743 that divides 4743 without a remainder.

1,3,9,17,31,51,93,153,279,527,1581,4743

Factors of 1346

List of positive integer factors of 1346 that divides 1346 without a remainder.

1,2,673,1346

Greatest Common Factor

We found the factors 4743,1346 . The biggest common factor number is the GCF number.
So the greatest common factor 4743,1346 is 1.

Lets's calculate LCM of 260,122

2 260, 122
130, 61

∴ So the LCM of the given numbers is 2 x 130 x 61 = 15860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15860

Therefore, the GCF of Fractions 4743/260,1346/122 is 1/15860

Least Common Multiple of 260,122 with GCF Formula

Least Common Multiple of 260,122 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 260,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,122) = 2

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

GCF(260,122) x common factors =2 x 1 = 2

LCM(260,122) = ( 260 × 122 ) / 2

LCM(260,122) = 31720 / 2

LCM(260,122) = 15860


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 4743/260, 1346/122

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 4743/260, 1346/122?

Answer: GCF of Numerators as per given numbers 4743/260, 1346/122 is

GCF of Numerators i.e. for 4743,1346 is 1

LCM of denominators i.e. for 260,122 is 15860.

Thus, GCF of Fractions is 1/15860.Finally, GCF of Fractions for 4743/260, 1346/122 is 1/15860.