Greatest Common Factor of 147/9506, 314/3313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 147/9506, 314/3313

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 147/9506,314/3313

Given fractions are 147/9506,314/3313

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 147,314

Greatest Common Factor of Numerators i.e. GCF of 147,314 is 1 .

LCM of Denominators means LCM of 9506,3313 as per the given fractions.

LCM of 9506,3313 is 31493378 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 147,314

GCF of Fractions 147/9506,314/3313 is 1/31493378

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

Greatest Common Factor of 147,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,314 By Matching Biggest Common Factor Method

Factors of 147

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

1,3,7,21,49,147

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 147,314 . The biggest common factor number is the GCF number.
So the greatest common factor 147,314 is 1.

Lets's calculate LCM of 9506,3313

Given numbers has no common factors except 1. So, there LCM is their product i.e 31493378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31493378

Therefore, the GCF of Fractions 147/9506,314/3313 is 1/31493378

Least Common Multiple of 9506,3313 with GCF Formula

Least Common Multiple of 9506,3313 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 9506,3313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9506,3313) = 1

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

GCF(9506,3313) x common factors =1 x 1 = 1

LCM(9506,3313) = ( 9506 × 3313 ) / 1

LCM(9506,3313) = 31493378 / 1

LCM(9506,3313) = 31493378


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 147/9506, 314/3313

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 147/9506, 314/3313?

Answer: GCF of Numerators as per given numbers 147/9506, 314/3313 is

GCF of Numerators i.e. for 147,314 is 1

LCM of denominators i.e. for 9506,3313 is 31493378.

Thus, GCF of Fractions is 1/31493378.Finally, GCF of Fractions for 147/9506, 314/3313 is 1/31493378.