Greatest Common Factor of 59/224, 80/630, 589/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/224, 80/630, 589/169

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 59/224,80/630,589/169

Given fractions are 59/224,80/630,589/169

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 59,80,589

Greatest Common Factor of Numerators i.e. GCF of 59,80,589 is 1 .

LCM of Denominators means LCM of 224,630,169 as per the given fractions.

LCM of 224,630,169 is 1703520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,80,589

GCF of Fractions 59/224,80/630,589/169 is 1/1703520

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

Greatest Common Factor of 59,80,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,80,589 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 59,80,589 . The biggest common factor number is the GCF number.
So the greatest common factor 59,80,589 is 1.

Lets's calculate LCM of 224,630,169

2 224, 630, 169
7 112, 315, 169
16, 45, 169

∴ So the LCM of the given numbers is 2 x 7 x 16 x 45 x 169 = 1703520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1703520

Therefore, the GCF of Fractions 59/224,80/630,589/169 is 1/1703520

Least Common Multiple of 224,630,169 with GCF Formula

Least Common Multiple of 224,630,169 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 224,630,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,630,169) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(224,630,169) x common factors =1 x 14 = 14

LCM(224,630,169) = ( 224 × 630 × 169 ) / 14

LCM(224,630,169) = 23849280 / 14

LCM(224,630,169) = 1703520


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 59/224, 80/630, 589/169

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 59/224, 80/630, 589/169?

Answer: GCF of Numerators as per given numbers 59/224, 80/630, 589/169 is

GCF of Numerators i.e. for 59,80,589 is 1

LCM of denominators i.e. for 224,630,169 is 1703520.

Thus, GCF of Fractions is 1/1703520.Finally, GCF of Fractions for 59/224, 80/630, 589/169 is 1/1703520.