Greatest Common Factor of 73/281, 16/105, 730/793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/281, 16/105, 730/793

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 73/281,16/105,730/793

Given fractions are 73/281,16/105,730/793

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 73,16,730

Greatest Common Factor of Numerators i.e. GCF of 73,16,730 is 1 .

LCM of Denominators means LCM of 281,105,793 as per the given fractions.

LCM of 281,105,793 is 23397465 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,16,730

GCF of Fractions 73/281,16/105,730/793 is 1/23397465

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

Greatest Common Factor of 73,16,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,16,730 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 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 73,16,730 . The biggest common factor number is the GCF number.
So the greatest common factor 73,16,730 is 1.

Lets's calculate LCM of 281,105,793

Given numbers has no common factors except 1. So, there LCM is their product i.e 23397465

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23397465

Therefore, the GCF of Fractions 73/281,16/105,730/793 is 1/23397465

Least Common Multiple of 281,105,793 with GCF Formula

Least Common Multiple of 281,105,793 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 281,105,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,105,793) = 1

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

GCF(281,105,793) x common factors =1 x 1 = 1

LCM(281,105,793) = ( 281 × 105 × 793 ) / 1

LCM(281,105,793) = 23397465 / 1

LCM(281,105,793) = 23397465


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 73/281, 16/105, 730/793

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 73/281, 16/105, 730/793?

Answer: GCF of Numerators as per given numbers 73/281, 16/105, 730/793 is

GCF of Numerators i.e. for 73,16,730 is 1

LCM of denominators i.e. for 281,105,793 is 23397465.

Thus, GCF of Fractions is 1/23397465.Finally, GCF of Fractions for 73/281, 16/105, 730/793 is 1/23397465.