Greatest Common Factor of 303/920, 6860/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 303/920, 6860/345

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 303/920,6860/345

Given fractions are 303/920,6860/345

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 303,6860

Greatest Common Factor of Numerators i.e. GCF of 303,6860 is 1 .

LCM of Denominators means LCM of 920,345 as per the given fractions.

LCM of 920,345 is 2760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 303,6860

GCF of Fractions 303/920,6860/345 is 1/2760

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

Greatest Common Factor of 303,6860 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,6860 By Matching Biggest Common Factor Method

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 6860

List of positive integer factors of 6860 that divides 6860 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,343,490,686,980,1372,1715,3430,6860

Greatest Common Factor

We found the factors 303,6860 . The biggest common factor number is the GCF number.
So the greatest common factor 303,6860 is 1.

Lets's calculate LCM of 920,345

5 920, 345
23 184, 69
8, 3

∴ So the LCM of the given numbers is 5 x 23 x 8 x 3 = 2760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2760

Therefore, the GCF of Fractions 303/920,6860/345 is 1/2760

Least Common Multiple of 920,345 with GCF Formula

Least Common Multiple of 920,345 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 920,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,345) = 115

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

GCF(920,345) x common factors =115 x 1 = 115

LCM(920,345) = ( 920 × 345 ) / 115

LCM(920,345) = 317400 / 115

LCM(920,345) = 2760


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 303/920, 6860/345

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 303/920, 6860/345?

Answer: GCF of Numerators as per given numbers 303/920, 6860/345 is

GCF of Numerators i.e. for 303,6860 is 1

LCM of denominators i.e. for 920,345 is 2760.

Thus, GCF of Fractions is 1/2760.Finally, GCF of Fractions for 303/920, 6860/345 is 1/2760.