Greatest Common Factor of 324/95, 7340/647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 324/95, 7340/647

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 324/95,7340/647

Given fractions are 324/95,7340/647

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 324,7340

Greatest Common Factor of Numerators i.e. GCF of 324,7340 is 4 .

LCM of Denominators means LCM of 95,647 as per the given fractions.

LCM of 95,647 is 61465 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 324,7340

GCF of Fractions 324/95,7340/647 is 4/61465

2 324, 7340
2 162, 3670
81, 1835

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 324,7340 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,7340 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 7340

List of positive integer factors of 7340 that divides 7340 without a remainder.

1,2,4,5,10,20,367,734,1468,1835,3670,7340

Greatest Common Factor

We found the factors 324,7340 . The biggest common factor number is the GCF number.
So the greatest common factor 324,7340 is 4.

Lets's calculate LCM of 95,647

Given numbers has no common factors except 1. So, there LCM is their product i.e 61465

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/61465

Therefore, the GCF of Fractions 324/95,7340/647 is 4/61465

Least Common Multiple of 95,647 with GCF Formula

Least Common Multiple of 95,647 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 95,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,647) = 1

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

GCF(95,647) x common factors =1 x 1 = 1

LCM(95,647) = ( 95 × 647 ) / 1

LCM(95,647) = 61465 / 1

LCM(95,647) = 61465


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 324/95, 7340/647

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 324/95, 7340/647?

Answer: GCF of Numerators as per given numbers 324/95, 7340/647 is

GCF of Numerators i.e. for 324,7340 is 4

LCM of denominators i.e. for 95,647 is 61465.

Thus, GCF of Fractions is 4/61465.Finally, GCF of Fractions for 324/95, 7340/647 is 4/61465.