Greatest Common Factor of 3588/25, 3185/373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3588/25, 3185/373

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 3588/25,3185/373

Given fractions are 3588/25,3185/373

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 3588,3185

Greatest Common Factor of Numerators i.e. GCF of 3588,3185 is 13 .

LCM of Denominators means LCM of 25,373 as per the given fractions.

LCM of 25,373 is 9325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3588,3185

GCF of Fractions 3588/25,3185/373 is 13/9325

13 3588, 3185
276, 245

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 3588,3185 By Matching Biggest Common Factor Method

Greatest Common Factor of 3588,3185 By Matching Biggest Common Factor Method

Factors of 3588

List of positive integer factors of 3588 that divides 3588 without a remainder.

1,2,3,4,6,12,13,23,26,39,46,52,69,78,92,138,156,276,299,598,897,1196,1794,3588

Factors of 3185

List of positive integer factors of 3185 that divides 3185 without a remainder.

1,5,7,13,35,49,65,91,245,455,637,3185

Greatest Common Factor

We found the factors 3588,3185 . The biggest common factor number is the GCF number.
So the greatest common factor 3588,3185 is 13.

Lets's calculate LCM of 25,373

Given numbers has no common factors except 1. So, there LCM is their product i.e 9325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/9325

Therefore, the GCF of Fractions 3588/25,3185/373 is 13/9325

Least Common Multiple of 25,373 with GCF Formula

Least Common Multiple of 25,373 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 25,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,373) = 1

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

GCF(25,373) x common factors =1 x 1 = 1

LCM(25,373) = ( 25 × 373 ) / 1

LCM(25,373) = 9325 / 1

LCM(25,373) = 9325


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 3588/25, 3185/373

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 3588/25, 3185/373?

Answer: GCF of Numerators as per given numbers 3588/25, 3185/373 is

GCF of Numerators i.e. for 3588,3185 is 13

LCM of denominators i.e. for 25,373 is 9325.

Thus, GCF of Fractions is 13/9325.Finally, GCF of Fractions for 3588/25, 3185/373 is 13/9325.