Greatest Common Factor of 40/34, 28/57, 328/389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/34, 28/57, 328/389

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 40/34,28/57,328/389

Given fractions are 40/34,28/57,328/389

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 40,28,328

Greatest Common Factor of Numerators i.e. GCF of 40,28,328 is 4 .

LCM of Denominators means LCM of 34,57,389 as per the given fractions.

LCM of 34,57,389 is 753882 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,28,328

GCF of Fractions 40/34,28/57,328/389 is 4/753882

2 40, 28, 328
2 20, 14, 164
10, 7, 82

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 40,28,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,28,328 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

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 40,28,328 . The biggest common factor number is the GCF number.
So the greatest common factor 40,28,328 is 4.

Lets's calculate LCM of 34,57,389

Given numbers has no common factors except 1. So, there LCM is their product i.e 753882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/753882

Therefore, the GCF of Fractions 40/34,28/57,328/389 is 4/753882

Least Common Multiple of 34,57,389 with GCF Formula

Least Common Multiple of 34,57,389 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 34,57,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,57,389) = 1

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

GCF(34,57,389) x common factors =1 x 1 = 1

LCM(34,57,389) = ( 34 × 57 × 389 ) / 1

LCM(34,57,389) = 753882 / 1

LCM(34,57,389) = 753882


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 40/34, 28/57, 328/389

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 40/34, 28/57, 328/389?

Answer: GCF of Numerators as per given numbers 40/34, 28/57, 328/389 is

GCF of Numerators i.e. for 40,28,328 is 4

LCM of denominators i.e. for 34,57,389 is 753882.

Thus, GCF of Fractions is 4/753882.Finally, GCF of Fractions for 40/34, 28/57, 328/389 is 4/753882.