Greatest Common Factor of 59/15, 644/65, 490/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/15, 644/65, 490/749

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 59/15,644/65,490/749

Given fractions are 59/15,644/65,490/749

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 59,644,490

Greatest Common Factor of Numerators i.e. GCF of 59,644,490 is 1 .

LCM of Denominators means LCM of 15,65,749 as per the given fractions.

LCM of 15,65,749 is 146055 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,644,490

GCF of Fractions 59/15,644/65,490/749 is 1/146055

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

Greatest Common Factor of 59,644,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,644,490 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 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 59,644,490 . The biggest common factor number is the GCF number.
So the greatest common factor 59,644,490 is 1.

Lets's calculate LCM of 15,65,749

5 15, 65, 749
3, 13, 749

∴ So the LCM of the given numbers is 5 x 3 x 13 x 749 = 146055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146055

Therefore, the GCF of Fractions 59/15,644/65,490/749 is 1/146055

Least Common Multiple of 15,65,749 with GCF Formula

Least Common Multiple of 15,65,749 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 15,65,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,65,749) = 1

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

GCF(15,65,749) x common factors =1 x 5 = 5

LCM(15,65,749) = ( 15 × 65 × 749 ) / 5

LCM(15,65,749) = 730275 / 5

LCM(15,65,749) = 146055


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 59/15, 644/65, 490/749

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 59/15, 644/65, 490/749?

Answer: GCF of Numerators as per given numbers 59/15, 644/65, 490/749 is

GCF of Numerators i.e. for 59,644,490 is 1

LCM of denominators i.e. for 15,65,749 is 146055.

Thus, GCF of Fractions is 1/146055.Finally, GCF of Fractions for 59/15, 644/65, 490/749 is 1/146055.