Greatest Common Factor of 4543/46, 1274/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4543/46, 1274/347

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 4543/46,1274/347

Given fractions are 4543/46,1274/347

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 4543,1274

Greatest Common Factor of Numerators i.e. GCF of 4543,1274 is 7 .

LCM of Denominators means LCM of 46,347 as per the given fractions.

LCM of 46,347 is 15962 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4543,1274

GCF of Fractions 4543/46,1274/347 is 7/15962

7 4543, 1274
649, 182

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 4543,1274 By Matching Biggest Common Factor Method

Greatest Common Factor of 4543,1274 By Matching Biggest Common Factor Method

Factors of 4543

List of positive integer factors of 4543 that divides 4543 without a remainder.

1,7,11,59,77,413,649,4543

Factors of 1274

List of positive integer factors of 1274 that divides 1274 without a remainder.

1,2,7,13,14,26,49,91,98,182,637,1274

Greatest Common Factor

We found the factors 4543,1274 . The biggest common factor number is the GCF number.
So the greatest common factor 4543,1274 is 7.

Lets's calculate LCM of 46,347

Given numbers has no common factors except 1. So, there LCM is their product i.e 15962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/15962

Therefore, the GCF of Fractions 4543/46,1274/347 is 7/15962

Least Common Multiple of 46,347 with GCF Formula

Least Common Multiple of 46,347 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 46,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,347) = 1

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

GCF(46,347) x common factors =1 x 1 = 1

LCM(46,347) = ( 46 × 347 ) / 1

LCM(46,347) = 15962 / 1

LCM(46,347) = 15962


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 4543/46, 1274/347

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 4543/46, 1274/347?

Answer: GCF of Numerators as per given numbers 4543/46, 1274/347 is

GCF of Numerators i.e. for 4543,1274 is 7

LCM of denominators i.e. for 46,347 is 15962.

Thus, GCF of Fractions is 7/15962.Finally, GCF of Fractions for 4543/46, 1274/347 is 7/15962.