Greatest Common Factor of 9/65, 47/48, 64/314, 147/673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/65, 47/48, 64/314, 147/673

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 9/65,47/48,64/314,147/673

Given fractions are 9/65,47/48,64/314,147/673

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 9,47,64,147

Greatest Common Factor of Numerators i.e. GCF of 9,47,64,147 is 1 .

LCM of Denominators means LCM of 65,48,314,673 as per the given fractions.

LCM of 65,48,314,673 is 329662320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,47,64,147

GCF of Fractions 9/65,47/48,64/314,147/673 is 1/329662320

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

Greatest Common Factor of 9,47,64,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,47,64,147 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

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 9,47,64,147 . The biggest common factor number is the GCF number.
So the greatest common factor 9,47,64,147 is 1.

Lets's calculate LCM of 65,48,314,673

2 65, 48, 314, 673
65, 24, 157, 673

∴ So the LCM of the given numbers is 2 x 65 x 24 x 157 x 673 = 329662320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329662320

Therefore, the GCF of Fractions 9/65,47/48,64/314,147/673 is 1/329662320

Least Common Multiple of 65,48,314,673 with GCF Formula

Least Common Multiple of 65,48,314,673 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 65,48,314,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,48,314,673) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(65,48,314,673) x common factors =1 x 2 = 2

LCM(65,48,314,673) = ( 65 × 48 × 314 × 673 ) / 2

LCM(65,48,314,673) = 659324640 / 2

LCM(65,48,314,673) = 329662320


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 9/65, 47/48, 64/314, 147/673

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 9/65, 47/48, 64/314, 147/673?

Answer: GCF of Numerators as per given numbers 9/65, 47/48, 64/314, 147/673 is

GCF of Numerators i.e. for 9,47,64,147 is 1

LCM of denominators i.e. for 65,48,314,673 is 329662320.

Thus, GCF of Fractions is 1/329662320.Finally, GCF of Fractions for 9/65, 47/48, 64/314, 147/673 is 1/329662320.