Greatest Common Factor of 590/20, 610/59, 545/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 590/20, 610/59, 545/225

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 590/20,610/59,545/225

Given fractions are 590/20,610/59,545/225

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 590,610,545

Greatest Common Factor of Numerators i.e. GCF of 590,610,545 is 5 .

LCM of Denominators means LCM of 20,59,225 as per the given fractions.

LCM of 20,59,225 is 53100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 590,610,545

GCF of Fractions 590/20,610/59,545/225 is 5/53100

5 590, 610, 545
118, 122, 109

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 590,610,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,610,545 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 590,610,545 . The biggest common factor number is the GCF number.
So the greatest common factor 590,610,545 is 5.

Lets's calculate LCM of 20,59,225

5 20, 59, 225
4, 59, 45

∴ So the LCM of the given numbers is 5 x 4 x 59 x 45 = 53100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/53100

Therefore, the GCF of Fractions 590/20,610/59,545/225 is 5/53100

Least Common Multiple of 20,59,225 with GCF Formula

Least Common Multiple of 20,59,225 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 20,59,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,59,225) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(20,59,225) x common factors =1 x 5 = 5

LCM(20,59,225) = ( 20 × 59 × 225 ) / 5

LCM(20,59,225) = 265500 / 5

LCM(20,59,225) = 53100


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 590/20, 610/59, 545/225

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 590/20, 610/59, 545/225?

Answer: GCF of Numerators as per given numbers 590/20, 610/59, 545/225 is

GCF of Numerators i.e. for 590,610,545 is 5

LCM of denominators i.e. for 20,59,225 is 53100.

Thus, GCF of Fractions is 5/53100.Finally, GCF of Fractions for 590/20, 610/59, 545/225 is 5/53100.