Greatest Common Factor of 28/18, 84/84, 19/28, 53/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/18, 84/84, 19/28, 53/587

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 28/18,84/84,19/28,53/587

Given fractions are 28/18,84/84,19/28,53/587

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 28,84,19,53

Greatest Common Factor of Numerators i.e. GCF of 28,84,19,53 is 1 .

LCM of Denominators means LCM of 18,84,28,587 as per the given fractions.

LCM of 18,84,28,587 is 147924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,84,19,53

GCF of Fractions 28/18,84/84,19/28,53/587 is 1/147924

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

Greatest Common Factor of 28,84,19,53 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,84,19,53 By Matching Biggest Common Factor Method

Factors of 28

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

1,2,4,7,14,28

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Greatest Common Factor

We found the factors 28,84,19,53 . The biggest common factor number is the GCF number.
So the greatest common factor 28,84,19,53 is 1.

Lets's calculate LCM of 18,84,28,587

2 18, 84, 28, 587
2 9, 42, 14, 587
3 9, 21, 7, 587
7 3, 7, 7, 587
3, 1, 1, 587

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 3 x 1 x 1 x 587 = 147924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147924

Therefore, the GCF of Fractions 28/18,84/84,19/28,53/587 is 1/147924

Least Common Multiple of 18,84,28,587 with GCF Formula

Least Common Multiple of 18,84,28,587 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 18,84,28,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,84,28,587) = 1

common factors(in case of two or more numbers have common factors) = 168

GCF(18,84,28,587) x common factors =1 x 168 = 168

LCM(18,84,28,587) = ( 18 × 84 × 28 × 587 ) / 168

LCM(18,84,28,587) = 24851232 / 168

LCM(18,84,28,587) = 147924


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 28/18, 84/84, 19/28, 53/587

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 28/18, 84/84, 19/28, 53/587?

Answer: GCF of Numerators as per given numbers 28/18, 84/84, 19/28, 53/587 is

GCF of Numerators i.e. for 28,84,19,53 is 1

LCM of denominators i.e. for 18,84,28,587 is 147924.

Thus, GCF of Fractions is 1/147924.Finally, GCF of Fractions for 28/18, 84/84, 19/28, 53/587 is 1/147924.