Greatest Common Factor of 84/45, 65/26, 73/54, 304/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/45, 65/26, 73/54, 304/71

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 84/45,65/26,73/54,304/71

Given fractions are 84/45,65/26,73/54,304/71

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 84,65,73,304

Greatest Common Factor of Numerators i.e. GCF of 84,65,73,304 is 1 .

LCM of Denominators means LCM of 45,26,54,71 as per the given fractions.

LCM of 45,26,54,71 is 249210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,65,73,304

GCF of Fractions 84/45,65/26,73/54,304/71 is 1/249210

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

Greatest Common Factor of 84,65,73,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,65,73,304 By Matching Biggest Common Factor Method

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 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 84,65,73,304 . The biggest common factor number is the GCF number.
So the greatest common factor 84,65,73,304 is 1.

Lets's calculate LCM of 45,26,54,71

2 45, 26, 54, 71
3 45, 13, 27, 71
3 15, 13, 9, 71
5, 13, 3, 71

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 13 x 3 x 71 = 249210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249210

Therefore, the GCF of Fractions 84/45,65/26,73/54,304/71 is 1/249210

Least Common Multiple of 45,26,54,71 with GCF Formula

Least Common Multiple of 45,26,54,71 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 45,26,54,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,26,54,71) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(45,26,54,71) x common factors =1 x 18 = 18

LCM(45,26,54,71) = ( 45 × 26 × 54 × 71 ) / 18

LCM(45,26,54,71) = 4485780 / 18

LCM(45,26,54,71) = 249210


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 84/45, 65/26, 73/54, 304/71

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 84/45, 65/26, 73/54, 304/71?

Answer: GCF of Numerators as per given numbers 84/45, 65/26, 73/54, 304/71 is

GCF of Numerators i.e. for 84,65,73,304 is 1

LCM of denominators i.e. for 45,26,54,71 is 249210.

Thus, GCF of Fractions is 1/249210.Finally, GCF of Fractions for 84/45, 65/26, 73/54, 304/71 is 1/249210.