Greatest Common Factor of 37/44, 937/18, 328/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 37/44, 937/18, 328/345

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 37/44,937/18,328/345

Given fractions are 37/44,937/18,328/345

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 37,937,328

Greatest Common Factor of Numerators i.e. GCF of 37,937,328 is 1 .

LCM of Denominators means LCM of 44,18,345 as per the given fractions.

LCM of 44,18,345 is 45540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 37,937,328

GCF of Fractions 37/44,937/18,328/345 is 1/45540

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 37,937,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,937,328 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 37,937,328 . The biggest common factor number is the GCF number.
So the greatest common factor 37,937,328 is 1.

Lets's calculate LCM of 44,18,345

2 44, 18, 345
3 22, 9, 345
22, 3, 115

∴ So the LCM of the given numbers is 2 x 3 x 22 x 3 x 115 = 45540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45540

Therefore, the GCF of Fractions 37/44,937/18,328/345 is 1/45540

Least Common Multiple of 44,18,345 with GCF Formula

Least Common Multiple of 44,18,345 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 44,18,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,18,345) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(44,18,345) x common factors =1 x 6 = 6

LCM(44,18,345) = ( 44 × 18 × 345 ) / 6

LCM(44,18,345) = 273240 / 6

LCM(44,18,345) = 45540


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 37/44, 937/18, 328/345

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 37/44, 937/18, 328/345?

Answer: GCF of Numerators as per given numbers 37/44, 937/18, 328/345 is

GCF of Numerators i.e. for 37,937,328 is 1

LCM of denominators i.e. for 44,18,345 is 45540.

Thus, GCF of Fractions is 1/45540.Finally, GCF of Fractions for 37/44, 937/18, 328/345 is 1/45540.