Greatest Common Factor of 310/590, 389/194, 182/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 310/590, 389/194, 182/403

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 310/590,389/194,182/403

Given fractions are 310/590,389/194,182/403

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 310,389,182

Greatest Common Factor of Numerators i.e. GCF of 310,389,182 is 1 .

LCM of Denominators means LCM of 590,194,403 as per the given fractions.

LCM of 590,194,403 is 23063690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 310,389,182

GCF of Fractions 310/590,389/194,182/403 is 1/23063690

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

Greatest Common Factor of 310,389,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,389,182 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 310,389,182 . The biggest common factor number is the GCF number.
So the greatest common factor 310,389,182 is 1.

Lets's calculate LCM of 590,194,403

2 590, 194, 403
295, 97, 403

∴ So the LCM of the given numbers is 2 x 295 x 97 x 403 = 23063690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23063690

Therefore, the GCF of Fractions 310/590,389/194,182/403 is 1/23063690

Least Common Multiple of 590,194,403 with GCF Formula

Least Common Multiple of 590,194,403 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 590,194,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(590,194,403) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(590,194,403) x common factors =1 x 2 = 2

LCM(590,194,403) = ( 590 × 194 × 403 ) / 2

LCM(590,194,403) = 46127380 / 2

LCM(590,194,403) = 23063690


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 310/590, 389/194, 182/403

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 310/590, 389/194, 182/403?

Answer: GCF of Numerators as per given numbers 310/590, 389/194, 182/403 is

GCF of Numerators i.e. for 310,389,182 is 1

LCM of denominators i.e. for 590,194,403 is 23063690.

Thus, GCF of Fractions is 1/23063690.Finally, GCF of Fractions for 310/590, 389/194, 182/403 is 1/23063690.