Greatest Common Factor of 345/61, 147/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 345/61, 147/592

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 345/61,147/592

Given fractions are 345/61,147/592

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 345,147

Greatest Common Factor of Numerators i.e. GCF of 345,147 is 3 .

LCM of Denominators means LCM of 61,592 as per the given fractions.

LCM of 61,592 is 36112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 345,147

GCF of Fractions 345/61,147/592 is 3/36112

3 345, 147
115, 49

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 345,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,147 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 345,147 . The biggest common factor number is the GCF number.
So the greatest common factor 345,147 is 3.

Lets's calculate LCM of 61,592

Given numbers has no common factors except 1. So, there LCM is their product i.e 36112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/36112

Therefore, the GCF of Fractions 345/61,147/592 is 3/36112

Least Common Multiple of 61,592 with GCF Formula

Least Common Multiple of 61,592 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 61,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,592) = 1

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

GCF(61,592) x common factors =1 x 1 = 1

LCM(61,592) = ( 61 × 592 ) / 1

LCM(61,592) = 36112 / 1

LCM(61,592) = 36112


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 345/61, 147/592

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 345/61, 147/592?

Answer: GCF of Numerators as per given numbers 345/61, 147/592 is

GCF of Numerators i.e. for 345,147 is 3

LCM of denominators i.e. for 61,592 is 36112.

Thus, GCF of Fractions is 3/36112.Finally, GCF of Fractions for 345/61, 147/592 is 3/36112.