Greatest Common Factor of 73/51, 185/71, 624/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/51, 185/71, 624/417

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 73/51,185/71,624/417

Given fractions are 73/51,185/71,624/417

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 73,185,624

Greatest Common Factor of Numerators i.e. GCF of 73,185,624 is 1 .

LCM of Denominators means LCM of 51,71,417 as per the given fractions.

LCM of 51,71,417 is 503319 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,185,624

GCF of Fractions 73/51,185/71,624/417 is 1/503319

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

Greatest Common Factor of 73,185,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,185,624 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 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 73,185,624 . The biggest common factor number is the GCF number.
So the greatest common factor 73,185,624 is 1.

Lets's calculate LCM of 51,71,417

3 51, 71, 417
17, 71, 139

∴ So the LCM of the given numbers is 3 x 17 x 71 x 139 = 503319

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/503319

Therefore, the GCF of Fractions 73/51,185/71,624/417 is 1/503319

Least Common Multiple of 51,71,417 with GCF Formula

Least Common Multiple of 51,71,417 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 51,71,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,71,417) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,71,417) x common factors =1 x 3 = 3

LCM(51,71,417) = ( 51 × 71 × 417 ) / 3

LCM(51,71,417) = 1509957 / 3

LCM(51,71,417) = 503319


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, 185/71, 624/417

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, 185/71, 624/417?

Answer: GCF of Numerators as per given numbers 73/51, 185/71, 624/417 is

GCF of Numerators i.e. for 73,185,624 is 1

LCM of denominators i.e. for 51,71,417 is 503319.

Thus, GCF of Fractions is 1/503319.Finally, GCF of Fractions for 73/51, 185/71, 624/417 is 1/503319.