Greatest Common Factor of 3598/37, 3896/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3598/37, 3896/264

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 3598/37,3896/264

Given fractions are 3598/37,3896/264

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 3598,3896

Greatest Common Factor of Numerators i.e. GCF of 3598,3896 is 2 .

LCM of Denominators means LCM of 37,264 as per the given fractions.

LCM of 37,264 is 9768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3598,3896

GCF of Fractions 3598/37,3896/264 is 2/9768

2 3598, 3896
1799, 1948

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

Greatest Common Factor of 3598,3896 By Matching Biggest Common Factor Method

Greatest Common Factor of 3598,3896 By Matching Biggest Common Factor Method

Factors of 3598

List of positive integer factors of 3598 that divides 3598 without a remainder.

1,2,7,14,257,514,1799,3598

Factors of 3896

List of positive integer factors of 3896 that divides 3896 without a remainder.

1,2,4,8,487,974,1948,3896

Greatest Common Factor

We found the factors 3598,3896 . The biggest common factor number is the GCF number.
So the greatest common factor 3598,3896 is 2.

Lets's calculate LCM of 37,264

Given numbers has no common factors except 1. So, there LCM is their product i.e 9768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9768

Therefore, the GCF of Fractions 3598/37,3896/264 is 2/9768

Least Common Multiple of 37,264 with GCF Formula

Least Common Multiple of 37,264 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 37,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,264) = 1

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

GCF(37,264) x common factors =1 x 1 = 1

LCM(37,264) = ( 37 × 264 ) / 1

LCM(37,264) = 9768 / 1

LCM(37,264) = 9768


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 3598/37, 3896/264

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 3598/37, 3896/264?

Answer: GCF of Numerators as per given numbers 3598/37, 3896/264 is

GCF of Numerators i.e. for 3598,3896 is 2

LCM of denominators i.e. for 37,264 is 9768.

Thus, GCF of Fractions is 2/9768.Finally, GCF of Fractions for 3598/37, 3896/264 is 2/9768.