Greatest Common Factor of 7230/26, 8246/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7230/26, 8246/962

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 7230/26,8246/962

Given fractions are 7230/26,8246/962

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 7230,8246

Greatest Common Factor of Numerators i.e. GCF of 7230,8246 is 2 .

LCM of Denominators means LCM of 26,962 as per the given fractions.

LCM of 26,962 is 962 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7230,8246

GCF of Fractions 7230/26,8246/962 is 2/962

2 7230, 8246
3615, 4123

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7230,8246 By Matching Biggest Common Factor Method

Greatest Common Factor of 7230,8246 By Matching Biggest Common Factor Method

Factors of 7230

List of positive integer factors of 7230 that divides 7230 without a remainder.

1,2,3,5,6,10,15,30,241,482,723,1205,1446,2410,3615,7230

Factors of 8246

List of positive integer factors of 8246 that divides 8246 without a remainder.

1,2,7,14,19,31,38,62,133,217,266,434,589,1178,4123,8246

Greatest Common Factor

We found the factors 7230,8246 . The biggest common factor number is the GCF number.
So the greatest common factor 7230,8246 is 2.

Lets's calculate LCM of 26,962

2 26, 962
13 13, 481
1, 37

∴ So the LCM of the given numbers is 2 x 13 x 1 x 37 = 962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/962

Therefore, the GCF of Fractions 7230/26,8246/962 is 2/962

Least Common Multiple of 26,962 with GCF Formula

Least Common Multiple of 26,962 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 26,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,962) = 26

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

GCF(26,962) x common factors =26 x 1 = 26

LCM(26,962) = ( 26 × 962 ) / 26

LCM(26,962) = 25012 / 26

LCM(26,962) = 962


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 7230/26, 8246/962

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 7230/26, 8246/962?

Answer: GCF of Numerators as per given numbers 7230/26, 8246/962 is

GCF of Numerators i.e. for 7230,8246 is 2

LCM of denominators i.e. for 26,962 is 962.

Thus, GCF of Fractions is 2/962.Finally, GCF of Fractions for 7230/26, 8246/962 is 2/962.