Greatest Common Factor of 470/941, 140/220, 289/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 470/941, 140/220, 289/584

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 470/941,140/220,289/584

Given fractions are 470/941,140/220,289/584

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 470,140,289

Greatest Common Factor of Numerators i.e. GCF of 470,140,289 is 1 .

LCM of Denominators means LCM of 941,220,584 as per the given fractions.

LCM of 941,220,584 is 30224920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 470,140,289

GCF of Fractions 470/941,140/220,289/584 is 1/30224920

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

Greatest Common Factor of 470,140,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,140,289 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 470,140,289 . The biggest common factor number is the GCF number.
So the greatest common factor 470,140,289 is 1.

Lets's calculate LCM of 941,220,584

2 941, 220, 584
2 941, 110, 292
941, 55, 146

∴ So the LCM of the given numbers is 2 x 2 x 941 x 55 x 146 = 30224920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30224920

Therefore, the GCF of Fractions 470/941,140/220,289/584 is 1/30224920

Least Common Multiple of 941,220,584 with GCF Formula

Least Common Multiple of 941,220,584 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 941,220,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(941,220,584) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(941,220,584) x common factors =1 x 4 = 4

LCM(941,220,584) = ( 941 × 220 × 584 ) / 4

LCM(941,220,584) = 120899680 / 4

LCM(941,220,584) = 30224920


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 470/941, 140/220, 289/584

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 470/941, 140/220, 289/584?

Answer: GCF of Numerators as per given numbers 470/941, 140/220, 289/584 is

GCF of Numerators i.e. for 470,140,289 is 1

LCM of denominators i.e. for 941,220,584 is 30224920.

Thus, GCF of Fractions is 1/30224920.Finally, GCF of Fractions for 470/941, 140/220, 289/584 is 1/30224920.