Greatest Common Factor of 3224/20, 1147/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3224/20, 1147/815

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 3224/20,1147/815

Given fractions are 3224/20,1147/815

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 3224,1147

Greatest Common Factor of Numerators i.e. GCF of 3224,1147 is 31 .

LCM of Denominators means LCM of 20,815 as per the given fractions.

LCM of 20,815 is 3260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3224,1147

GCF of Fractions 3224/20,1147/815 is 31/3260

31 3224, 1147
104, 37

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 3224,1147 By Matching Biggest Common Factor Method

Greatest Common Factor of 3224,1147 By Matching Biggest Common Factor Method

Factors of 3224

List of positive integer factors of 3224 that divides 3224 without a remainder.

1,2,4,8,13,26,31,52,62,104,124,248,403,806,1612,3224

Factors of 1147

List of positive integer factors of 1147 that divides 1147 without a remainder.

1,31,37,1147

Greatest Common Factor

We found the factors 3224,1147 . The biggest common factor number is the GCF number.
So the greatest common factor 3224,1147 is 31.

Lets's calculate LCM of 20,815

5 20, 815
4, 163

∴ So the LCM of the given numbers is 5 x 4 x 163 = 3260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/3260

Therefore, the GCF of Fractions 3224/20,1147/815 is 31/3260

Least Common Multiple of 20,815 with GCF Formula

Least Common Multiple of 20,815 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 20,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,815) = 5

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

GCF(20,815) x common factors =5 x 1 = 5

LCM(20,815) = ( 20 × 815 ) / 5

LCM(20,815) = 16300 / 5

LCM(20,815) = 3260


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 3224/20, 1147/815

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 3224/20, 1147/815?

Answer: GCF of Numerators as per given numbers 3224/20, 1147/815 is

GCF of Numerators i.e. for 3224,1147 is 31

LCM of denominators i.e. for 20,815 is 3260.

Thus, GCF of Fractions is 31/3260.Finally, GCF of Fractions for 3224/20, 1147/815 is 31/3260.