Greatest Common Factor of 578/47, 356/58, 205/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 578/47, 356/58, 205/214

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 578/47,356/58,205/214

Given fractions are 578/47,356/58,205/214

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 578,356,205

Greatest Common Factor of Numerators i.e. GCF of 578,356,205 is 1 .

LCM of Denominators means LCM of 47,58,214 as per the given fractions.

LCM of 47,58,214 is 291682 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 578,356,205

GCF of Fractions 578/47,356/58,205/214 is 1/291682

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

Greatest Common Factor of 578,356,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,356,205 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 578,356,205 . The biggest common factor number is the GCF number.
So the greatest common factor 578,356,205 is 1.

Lets's calculate LCM of 47,58,214

2 47, 58, 214
47, 29, 107

∴ So the LCM of the given numbers is 2 x 47 x 29 x 107 = 291682

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/291682

Therefore, the GCF of Fractions 578/47,356/58,205/214 is 1/291682

Least Common Multiple of 47,58,214 with GCF Formula

Least Common Multiple of 47,58,214 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 47,58,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,58,214) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(47,58,214) x common factors =1 x 2 = 2

LCM(47,58,214) = ( 47 × 58 × 214 ) / 2

LCM(47,58,214) = 583364 / 2

LCM(47,58,214) = 291682


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 578/47, 356/58, 205/214

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 578/47, 356/58, 205/214?

Answer: GCF of Numerators as per given numbers 578/47, 356/58, 205/214 is

GCF of Numerators i.e. for 578,356,205 is 1

LCM of denominators i.e. for 47,58,214 is 291682.

Thus, GCF of Fractions is 1/291682.Finally, GCF of Fractions for 578/47, 356/58, 205/214 is 1/291682.