Greatest Common Factor of 73/51, 84/23, 35/14, 41/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/51, 84/23, 35/14, 41/160

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 73/51,84/23,35/14,41/160

Given fractions are 73/51,84/23,35/14,41/160

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 73,84,35,41

Greatest Common Factor of Numerators i.e. GCF of 73,84,35,41 is 1 .

LCM of Denominators means LCM of 51,23,14,160 as per the given fractions.

LCM of 51,23,14,160 is 1313760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,84,35,41

GCF of Fractions 73/51,84/23,35/14,41/160 is 1/1313760

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

Greatest Common Factor of 73,84,35,41 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,84,35,41 By Matching Biggest Common Factor Method

Factors of 73

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

1,73

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 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Greatest Common Factor

We found the factors 73,84,35,41 . The biggest common factor number is the GCF number.
So the greatest common factor 73,84,35,41 is 1.

Lets's calculate LCM of 51,23,14,160

2 51, 23, 14, 160
51, 23, 7, 80

∴ So the LCM of the given numbers is 2 x 51 x 23 x 7 x 80 = 1313760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1313760

Therefore, the GCF of Fractions 73/51,84/23,35/14,41/160 is 1/1313760

Least Common Multiple of 51,23,14,160 with GCF Formula

Least Common Multiple of 51,23,14,160 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 51,23,14,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,23,14,160) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(51,23,14,160) x common factors =1 x 2 = 2

LCM(51,23,14,160) = ( 51 × 23 × 14 × 160 ) / 2

LCM(51,23,14,160) = 2627520 / 2

LCM(51,23,14,160) = 1313760


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 73/51, 84/23, 35/14, 41/160

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 73/51, 84/23, 35/14, 41/160?

Answer: GCF of Numerators as per given numbers 73/51, 84/23, 35/14, 41/160 is

GCF of Numerators i.e. for 73,84,35,41 is 1

LCM of denominators i.e. for 51,23,14,160 is 1313760.

Thus, GCF of Fractions is 1/1313760.Finally, GCF of Fractions for 73/51, 84/23, 35/14, 41/160 is 1/1313760.