Greatest Common Factor of 310/20, 375/883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 310/20, 375/883

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 310/20,375/883

Given fractions are 310/20,375/883

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 310,375

Greatest Common Factor of Numerators i.e. GCF of 310,375 is 5 .

LCM of Denominators means LCM of 20,883 as per the given fractions.

LCM of 20,883 is 17660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 310,375

GCF of Fractions 310/20,375/883 is 5/17660

5 310, 375
62, 75

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

Greatest Common Factor of 310,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,375 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 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 310,375 . The biggest common factor number is the GCF number.
So the greatest common factor 310,375 is 5.

Lets's calculate LCM of 20,883

Given numbers has no common factors except 1. So, there LCM is their product i.e 17660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/17660

Therefore, the GCF of Fractions 310/20,375/883 is 5/17660

Least Common Multiple of 20,883 with GCF Formula

Least Common Multiple of 20,883 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 20,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,883) = 1

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

GCF(20,883) x common factors =1 x 1 = 1

LCM(20,883) = ( 20 × 883 ) / 1

LCM(20,883) = 17660 / 1

LCM(20,883) = 17660


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 310/20, 375/883

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 310/20, 375/883?

Answer: GCF of Numerators as per given numbers 310/20, 375/883 is

GCF of Numerators i.e. for 310,375 is 5

LCM of denominators i.e. for 20,883 is 17660.

Thus, GCF of Fractions is 5/17660.Finally, GCF of Fractions for 310/20, 375/883 is 5/17660.