Greatest Common Factor of 310/29, 209/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 310/29, 209/532

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 310/29,209/532

Given fractions are 310/29,209/532

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 310,209

Greatest Common Factor of Numerators i.e. GCF of 310,209 is 1 .

LCM of Denominators means LCM of 29,532 as per the given fractions.

LCM of 29,532 is 15428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 310,209

GCF of Fractions 310/29,209/532 is 1/15428

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

Greatest Common Factor of 310,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,209 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 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 310,209 . The biggest common factor number is the GCF number.
So the greatest common factor 310,209 is 1.

Lets's calculate LCM of 29,532

Given numbers has no common factors except 1. So, there LCM is their product i.e 15428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15428

Therefore, the GCF of Fractions 310/29,209/532 is 1/15428

Least Common Multiple of 29,532 with GCF Formula

Least Common Multiple of 29,532 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 29,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,532) = 1

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

GCF(29,532) x common factors =1 x 1 = 1

LCM(29,532) = ( 29 × 532 ) / 1

LCM(29,532) = 15428 / 1

LCM(29,532) = 15428


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 310/29, 209/532

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 310/29, 209/532?

Answer: GCF of Numerators as per given numbers 310/29, 209/532 is

GCF of Numerators i.e. for 310,209 is 1

LCM of denominators i.e. for 29,532 is 15428.

Thus, GCF of Fractions is 1/15428.Finally, GCF of Fractions for 310/29, 209/532 is 1/15428.