Greatest Common Factor of 375/37, 5574/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 375/37, 5574/489

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 375/37,5574/489

Given fractions are 375/37,5574/489

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 375,5574

Greatest Common Factor of Numerators i.e. GCF of 375,5574 is 3 .

LCM of Denominators means LCM of 37,489 as per the given fractions.

LCM of 37,489 is 18093 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 375,5574

GCF of Fractions 375/37,5574/489 is 3/18093

3 375, 5574
125, 1858

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 375,5574 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,5574 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 5574

List of positive integer factors of 5574 that divides 5574 without a remainder.

1,2,3,6,929,1858,2787,5574

Greatest Common Factor

We found the factors 375,5574 . The biggest common factor number is the GCF number.
So the greatest common factor 375,5574 is 3.

Lets's calculate LCM of 37,489

Given numbers has no common factors except 1. So, there LCM is their product i.e 18093

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18093

Therefore, the GCF of Fractions 375/37,5574/489 is 3/18093

Least Common Multiple of 37,489 with GCF Formula

Least Common Multiple of 37,489 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 37,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,489) = 1

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

GCF(37,489) x common factors =1 x 1 = 1

LCM(37,489) = ( 37 × 489 ) / 1

LCM(37,489) = 18093 / 1

LCM(37,489) = 18093


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 375/37, 5574/489

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 375/37, 5574/489?

Answer: GCF of Numerators as per given numbers 375/37, 5574/489 is

GCF of Numerators i.e. for 375,5574 is 3

LCM of denominators i.e. for 37,489 is 18093.

Thus, GCF of Fractions is 3/18093.Finally, GCF of Fractions for 375/37, 5574/489 is 3/18093.