Greatest Common Factor of 73/29, 38/45, 616/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/29, 38/45, 616/584

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 73/29,38/45,616/584

Given fractions are 73/29,38/45,616/584

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 73,38,616

Greatest Common Factor of Numerators i.e. GCF of 73,38,616 is 1 .

LCM of Denominators means LCM of 29,45,584 as per the given fractions.

LCM of 29,45,584 is 762120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,38,616

GCF of Fractions 73/29,38/45,616/584 is 1/762120

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

Greatest Common Factor of 73,38,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,38,616 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 38

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

1,2,19,38

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 73,38,616 . The biggest common factor number is the GCF number.
So the greatest common factor 73,38,616 is 1.

Lets's calculate LCM of 29,45,584

Given numbers has no common factors except 1. So, there LCM is their product i.e 762120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/762120

Therefore, the GCF of Fractions 73/29,38/45,616/584 is 1/762120

Least Common Multiple of 29,45,584 with GCF Formula

Least Common Multiple of 29,45,584 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 29,45,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,45,584) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(29,45,584) x common factors =1 x 1 = 1

LCM(29,45,584) = ( 29 × 45 × 584 ) / 1

LCM(29,45,584) = 762120 / 1

LCM(29,45,584) = 762120


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 73/29, 38/45, 616/584

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 73/29, 38/45, 616/584?

Answer: GCF of Numerators as per given numbers 73/29, 38/45, 616/584 is

GCF of Numerators i.e. for 73,38,616 is 1

LCM of denominators i.e. for 29,45,584 is 762120.

Thus, GCF of Fractions is 1/762120.Finally, GCF of Fractions for 73/29, 38/45, 616/584 is 1/762120.