Greatest Common Factor of 4729/543, 3424/2645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4729/543, 3424/2645

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 4729/543,3424/2645

Given fractions are 4729/543,3424/2645

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 4729,3424

Greatest Common Factor of Numerators i.e. GCF of 4729,3424 is 1 .

LCM of Denominators means LCM of 543,2645 as per the given fractions.

LCM of 543,2645 is 1436235 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4729,3424

GCF of Fractions 4729/543,3424/2645 is 1/1436235

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

Greatest Common Factor of 4729,3424 By Matching Biggest Common Factor Method

Greatest Common Factor of 4729,3424 By Matching Biggest Common Factor Method

Factors of 4729

List of positive integer factors of 4729 that divides 4729 without a remainder.

1,4729

Factors of 3424

List of positive integer factors of 3424 that divides 3424 without a remainder.

1,2,4,8,16,32,107,214,428,856,1712,3424

Greatest Common Factor

We found the factors 4729,3424 . The biggest common factor number is the GCF number.
So the greatest common factor 4729,3424 is 1.

Lets's calculate LCM of 543,2645

Given numbers has no common factors except 1. So, there LCM is their product i.e 1436235

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1436235

Therefore, the GCF of Fractions 4729/543,3424/2645 is 1/1436235

Least Common Multiple of 543,2645 with GCF Formula

Least Common Multiple of 543,2645 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 543,2645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,2645) = 1

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

GCF(543,2645) x common factors =1 x 1 = 1

LCM(543,2645) = ( 543 × 2645 ) / 1

LCM(543,2645) = 1436235 / 1

LCM(543,2645) = 1436235


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 4729/543, 3424/2645

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 4729/543, 3424/2645?

Answer: GCF of Numerators as per given numbers 4729/543, 3424/2645 is

GCF of Numerators i.e. for 4729,3424 is 1

LCM of denominators i.e. for 543,2645 is 1436235.

Thus, GCF of Fractions is 1/1436235.Finally, GCF of Fractions for 4729/543, 3424/2645 is 1/1436235.