Greatest Common Factor of 71/20, 85/18, 38/40, 28/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/20, 85/18, 38/40, 28/474

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 71/20,85/18,38/40,28/474

Given fractions are 71/20,85/18,38/40,28/474

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 71,85,38,28

Greatest Common Factor of Numerators i.e. GCF of 71,85,38,28 is 1 .

LCM of Denominators means LCM of 20,18,40,474 as per the given fractions.

LCM of 20,18,40,474 is 28440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,85,38,28

GCF of Fractions 71/20,85/18,38/40,28/474 is 1/28440

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

Greatest Common Factor of 71,85,38,28 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,85,38,28 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 38

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

1,2,19,38

Factors of 28

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

1,2,4,7,14,28

Greatest Common Factor

We found the factors 71,85,38,28 . The biggest common factor number is the GCF number.
So the greatest common factor 71,85,38,28 is 1.

Lets's calculate LCM of 20,18,40,474

2 20, 18, 40, 474
2 10, 9, 20, 237
3 5, 9, 10, 237
5 5, 3, 10, 79
1, 3, 2, 79

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 3 x 2 x 79 = 28440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28440

Therefore, the GCF of Fractions 71/20,85/18,38/40,28/474 is 1/28440

Least Common Multiple of 20,18,40,474 with GCF Formula

Least Common Multiple of 20,18,40,474 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 20,18,40,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,18,40,474) = 2

common factors(in case of two or more numbers have common factors) = 120

GCF(20,18,40,474) x common factors =2 x 120 = 240

LCM(20,18,40,474) = ( 20 × 18 × 40 × 474 ) / 240

LCM(20,18,40,474) = 6825600 / 240

LCM(20,18,40,474) = 28440


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 71/20, 85/18, 38/40, 28/474

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 71/20, 85/18, 38/40, 28/474?

Answer: GCF of Numerators as per given numbers 71/20, 85/18, 38/40, 28/474 is

GCF of Numerators i.e. for 71,85,38,28 is 1

LCM of denominators i.e. for 20,18,40,474 is 28440.

Thus, GCF of Fractions is 1/28440.Finally, GCF of Fractions for 71/20, 85/18, 38/40, 28/474 is 1/28440.