Greatest Common Factor of 307/342, 260/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 307/342, 260/930

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 307/342,260/930

Given fractions are 307/342,260/930

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 307,260

Greatest Common Factor of Numerators i.e. GCF of 307,260 is 1 .

LCM of Denominators means LCM of 342,930 as per the given fractions.

LCM of 342,930 is 53010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 307,260

GCF of Fractions 307/342,260/930 is 1/53010

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

Greatest Common Factor of 307,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,260 By Matching Biggest Common Factor Method

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 307,260 . The biggest common factor number is the GCF number.
So the greatest common factor 307,260 is 1.

Lets's calculate LCM of 342,930

2 342, 930
3 171, 465
57, 155

∴ So the LCM of the given numbers is 2 x 3 x 57 x 155 = 53010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53010

Therefore, the GCF of Fractions 307/342,260/930 is 1/53010

Least Common Multiple of 342,930 with GCF Formula

Least Common Multiple of 342,930 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 342,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,930) = 6

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

GCF(342,930) x common factors =6 x 1 = 6

LCM(342,930) = ( 342 × 930 ) / 6

LCM(342,930) = 318060 / 6

LCM(342,930) = 53010


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 307/342, 260/930

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 307/342, 260/930?

Answer: GCF of Numerators as per given numbers 307/342, 260/930 is

GCF of Numerators i.e. for 307,260 is 1

LCM of denominators i.e. for 342,930 is 53010.

Thus, GCF of Fractions is 1/53010.Finally, GCF of Fractions for 307/342, 260/930 is 1/53010.