Greatest Common Factor of 58/56, 44/569, 243/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/56, 44/569, 243/635

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 58/56,44/569,243/635

Given fractions are 58/56,44/569,243/635

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 58,44,243

Greatest Common Factor of Numerators i.e. GCF of 58,44,243 is 1 .

LCM of Denominators means LCM of 56,569,635 as per the given fractions.

LCM of 56,569,635 is 20233640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,44,243

GCF of Fractions 58/56,44/569,243/635 is 1/20233640

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

Greatest Common Factor of 58,44,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,44,243 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 58,44,243 . The biggest common factor number is the GCF number.
So the greatest common factor 58,44,243 is 1.

Lets's calculate LCM of 56,569,635

Given numbers has no common factors except 1. So, there LCM is their product i.e 20233640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20233640

Therefore, the GCF of Fractions 58/56,44/569,243/635 is 1/20233640

Least Common Multiple of 56,569,635 with GCF Formula

Least Common Multiple of 56,569,635 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 56,569,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,569,635) = 1

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

GCF(56,569,635) x common factors =1 x 1 = 1

LCM(56,569,635) = ( 56 × 569 × 635 ) / 1

LCM(56,569,635) = 20233640 / 1

LCM(56,569,635) = 20233640


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 58/56, 44/569, 243/635

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 58/56, 44/569, 243/635?

Answer: GCF of Numerators as per given numbers 58/56, 44/569, 243/635 is

GCF of Numerators i.e. for 58,44,243 is 1

LCM of denominators i.e. for 56,569,635 is 20233640.

Thus, GCF of Fractions is 1/20233640.Finally, GCF of Fractions for 58/56, 44/569, 243/635 is 1/20233640.