Greatest Common Factor of 260/362, 234/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 260/362, 234/963

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 260/362,234/963

Given fractions are 260/362,234/963

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 260,234

Greatest Common Factor of Numerators i.e. GCF of 260,234 is 26 .

LCM of Denominators means LCM of 362,963 as per the given fractions.

LCM of 362,963 is 348606 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 260,234

GCF of Fractions 260/362,234/963 is 26/348606

2 260, 234
13 130, 117
10, 9

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 260,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,234 By Matching Biggest Common Factor Method

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

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 260,234 . The biggest common factor number is the GCF number.
So the greatest common factor 260,234 is 26.

Lets's calculate LCM of 362,963

Given numbers has no common factors except 1. So, there LCM is their product i.e 348606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/348606

Therefore, the GCF of Fractions 260/362,234/963 is 26/348606

Least Common Multiple of 362,963 with GCF Formula

Least Common Multiple of 362,963 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 362,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,963) = 1

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

GCF(362,963) x common factors =1 x 1 = 1

LCM(362,963) = ( 362 × 963 ) / 1

LCM(362,963) = 348606 / 1

LCM(362,963) = 348606


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 260/362, 234/963

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 260/362, 234/963?

Answer: GCF of Numerators as per given numbers 260/362, 234/963 is

GCF of Numerators i.e. for 260,234 is 26

LCM of denominators i.e. for 362,963 is 348606.

Thus, GCF of Fractions is 26/348606.Finally, GCF of Fractions for 260/362, 234/963 is 26/348606.