Greatest Common Factor of 39/295, 61/903, 589/163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/295, 61/903, 589/163

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 39/295,61/903,589/163

Given fractions are 39/295,61/903,589/163

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 39,61,589

Greatest Common Factor of Numerators i.e. GCF of 39,61,589 is 1 .

LCM of Denominators means LCM of 295,903,163 as per the given fractions.

LCM of 295,903,163 is 43420755 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,61,589

GCF of Fractions 39/295,61/903,589/163 is 1/43420755

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

Greatest Common Factor of 39,61,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,61,589 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

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 39,61,589 . The biggest common factor number is the GCF number.
So the greatest common factor 39,61,589 is 1.

Lets's calculate LCM of 295,903,163

Given numbers has no common factors except 1. So, there LCM is their product i.e 43420755

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43420755

Therefore, the GCF of Fractions 39/295,61/903,589/163 is 1/43420755

Least Common Multiple of 295,903,163 with GCF Formula

Least Common Multiple of 295,903,163 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 295,903,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,903,163) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(295,903,163) x common factors =1 x 1 = 1

LCM(295,903,163) = ( 295 × 903 × 163 ) / 1

LCM(295,903,163) = 43420755 / 1

LCM(295,903,163) = 43420755


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 39/295, 61/903, 589/163

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 39/295, 61/903, 589/163?

Answer: GCF of Numerators as per given numbers 39/295, 61/903, 589/163 is

GCF of Numerators i.e. for 39,61,589 is 1

LCM of denominators i.e. for 295,903,163 is 43420755.

Thus, GCF of Fractions is 1/43420755.Finally, GCF of Fractions for 39/295, 61/903, 589/163 is 1/43420755.