Greatest Common Factor of 313/285, 110/244, 400/793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 313/285, 110/244, 400/793

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 313/285,110/244,400/793

Given fractions are 313/285,110/244,400/793

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 313,110,400

Greatest Common Factor of Numerators i.e. GCF of 313,110,400 is 1 .

LCM of Denominators means LCM of 285,244,793 as per the given fractions.

LCM of 285,244,793 is 904020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 313,110,400

GCF of Fractions 313/285,110/244,400/793 is 1/904020

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

Greatest Common Factor of 313,110,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 313,110,400 By Matching Biggest Common Factor Method

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 313,110,400 . The biggest common factor number is the GCF number.
So the greatest common factor 313,110,400 is 1.

Lets's calculate LCM of 285,244,793

61 285, 244, 793
285, 4, 13

∴ So the LCM of the given numbers is 61 x 285 x 4 x 13 = 904020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/904020

Therefore, the GCF of Fractions 313/285,110/244,400/793 is 1/904020

Least Common Multiple of 285,244,793 with GCF Formula

Least Common Multiple of 285,244,793 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 285,244,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,244,793) = 1

common factors(in case of two or more numbers have common factors) = 61

GCF(285,244,793) x common factors =1 x 61 = 61

LCM(285,244,793) = ( 285 × 244 × 793 ) / 61

LCM(285,244,793) = 55145220 / 61

LCM(285,244,793) = 904020


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 313/285, 110/244, 400/793

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 313/285, 110/244, 400/793?

Answer: GCF of Numerators as per given numbers 313/285, 110/244, 400/793 is

GCF of Numerators i.e. for 313,110,400 is 1

LCM of denominators i.e. for 285,244,793 is 904020.

Thus, GCF of Fractions is 1/904020.Finally, GCF of Fractions for 313/285, 110/244, 400/793 is 1/904020.