Greatest Common Factor of 347/45, 589/9272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 347/45, 589/9272

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 347/45,589/9272

Given fractions are 347/45,589/9272

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 347,589

Greatest Common Factor of Numerators i.e. GCF of 347,589 is 1 .

LCM of Denominators means LCM of 45,9272 as per the given fractions.

LCM of 45,9272 is 417240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 347,589

GCF of Fractions 347/45,589/9272 is 1/417240

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

Greatest Common Factor of 347,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 347,589 By Matching Biggest Common Factor Method

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 347,589 . The biggest common factor number is the GCF number.
So the greatest common factor 347,589 is 1.


Lets's calculate LCM of 45,9272

Given numbers has no common factors except 1. So, there LCM is their product i.e 417240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/417240

Therefore, the GCF of Fractions 347/45,589/9272 is 1/417240

Least Common Multiple of 45,9272 with GCF Formula

Least Common Multiple of 45,9272 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 45,9272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,9272) = 1

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

GCF(45,9272) x common factors =1 x 1 = 1

LCM(45,9272) = ( 45 × 9272 ) / 1

LCM(45,9272) = 417240 / 1

LCM(45,9272) = 417240


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 347/45, 589/9272

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 347/45, 589/9272?

Answer: GCF of Numerators as per given numbers 347/45, 589/9272 is

GCF of Numerators i.e. for 347,589 is 1

LCM of denominators i.e. for 45,9272 is 417240.

Thus, GCF of Fractions is 1/417240.Finally, GCF of Fractions for 347/45, 589/9272 is 1/417240.