Greatest Common Factor of 3/28, 13/54, 38/440, 328/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/28, 13/54, 38/440, 328/478

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 3/28,13/54,38/440,328/478

Given fractions are 3/28,13/54,38/440,328/478

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 3,13,38,328

Greatest Common Factor of Numerators i.e. GCF of 3,13,38,328 is 1 .

LCM of Denominators means LCM of 28,54,440,478 as per the given fractions.

LCM of 28,54,440,478 is 19875240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,13,38,328

GCF of Fractions 3/28,13/54,38/440,328/478 is 1/19875240

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

Greatest Common Factor of 3,13,38,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,13,38,328 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

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 3,13,38,328 . The biggest common factor number is the GCF number.
So the greatest common factor 3,13,38,328 is 1.

Lets's calculate LCM of 28,54,440,478

2 28, 54, 440, 478
2 14, 27, 220, 239
7, 27, 110, 239

∴ So the LCM of the given numbers is 2 x 2 x 7 x 27 x 110 x 239 = 19875240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19875240

Therefore, the GCF of Fractions 3/28,13/54,38/440,328/478 is 1/19875240

Least Common Multiple of 28,54,440,478 with GCF Formula

Least Common Multiple of 28,54,440,478 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 28,54,440,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,54,440,478) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(28,54,440,478) x common factors =2 x 8 = 16

LCM(28,54,440,478) = ( 28 × 54 × 440 × 478 ) / 16

LCM(28,54,440,478) = 318003840 / 16

LCM(28,54,440,478) = 19875240


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 3/28, 13/54, 38/440, 328/478

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 3/28, 13/54, 38/440, 328/478?

Answer: GCF of Numerators as per given numbers 3/28, 13/54, 38/440, 328/478 is

GCF of Numerators i.e. for 3,13,38,328 is 1

LCM of denominators i.e. for 28,54,440,478 is 19875240.

Thus, GCF of Fractions is 1/19875240.Finally, GCF of Fractions for 3/28, 13/54, 38/440, 328/478 is 1/19875240.