Greatest Common Factor of 59/353, 72/819, 318/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/353, 72/819, 318/271

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 59/353,72/819,318/271

Given fractions are 59/353,72/819,318/271

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 59,72,318

Greatest Common Factor of Numerators i.e. GCF of 59,72,318 is 1 .

LCM of Denominators means LCM of 353,819,271 as per the given fractions.

LCM of 353,819,271 is 78347997 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,72,318

GCF of Fractions 59/353,72/819,318/271 is 1/78347997

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

Greatest Common Factor of 59,72,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,72,318 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 59,72,318 . The biggest common factor number is the GCF number.
So the greatest common factor 59,72,318 is 1.

Lets's calculate LCM of 353,819,271

Given numbers has no common factors except 1. So, there LCM is their product i.e 78347997

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78347997

Therefore, the GCF of Fractions 59/353,72/819,318/271 is 1/78347997

Least Common Multiple of 353,819,271 with GCF Formula

Least Common Multiple of 353,819,271 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 353,819,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(353,819,271) = 1

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

GCF(353,819,271) x common factors =1 x 1 = 1

LCM(353,819,271) = ( 353 × 819 × 271 ) / 1

LCM(353,819,271) = 78347997 / 1

LCM(353,819,271) = 78347997


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 59/353, 72/819, 318/271

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 59/353, 72/819, 318/271?

Answer: GCF of Numerators as per given numbers 59/353, 72/819, 318/271 is

GCF of Numerators i.e. for 59,72,318 is 1

LCM of denominators i.e. for 353,819,271 is 78347997.

Thus, GCF of Fractions is 1/78347997.Finally, GCF of Fractions for 59/353, 72/819, 318/271 is 1/78347997.