Greatest Common Factor of 7624/339, 9444/6455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7624/339, 9444/6455

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 7624/339,9444/6455

Given fractions are 7624/339,9444/6455

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 7624,9444

Greatest Common Factor of Numerators i.e. GCF of 7624,9444 is 4 .

LCM of Denominators means LCM of 339,6455 as per the given fractions.

LCM of 339,6455 is 2188245 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7624,9444

GCF of Fractions 7624/339,9444/6455 is 4/2188245

2 7624, 9444
2 3812, 4722
1906, 2361

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

Greatest Common Factor of 7624,9444 By Matching Biggest Common Factor Method

Greatest Common Factor of 7624,9444 By Matching Biggest Common Factor Method

Factors of 7624

List of positive integer factors of 7624 that divides 7624 without a remainder.

1,2,4,8,953,1906,3812,7624

Factors of 9444

List of positive integer factors of 9444 that divides 9444 without a remainder.

1,2,3,4,6,12,787,1574,2361,3148,4722,9444

Greatest Common Factor

We found the factors 7624,9444 . The biggest common factor number is the GCF number.
So the greatest common factor 7624,9444 is 4.

Lets's calculate LCM of 339,6455

Given numbers has no common factors except 1. So, there LCM is their product i.e 2188245

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2188245

Therefore, the GCF of Fractions 7624/339,9444/6455 is 4/2188245

Least Common Multiple of 339,6455 with GCF Formula

Least Common Multiple of 339,6455 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 339,6455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,6455) = 1

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

GCF(339,6455) x common factors =1 x 1 = 1

LCM(339,6455) = ( 339 × 6455 ) / 1

LCM(339,6455) = 2188245 / 1

LCM(339,6455) = 2188245


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 7624/339, 9444/6455

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 7624/339, 9444/6455?

Answer: GCF of Numerators as per given numbers 7624/339, 9444/6455 is

GCF of Numerators i.e. for 7624,9444 is 4

LCM of denominators i.e. for 339,6455 is 2188245.

Thus, GCF of Fractions is 4/2188245.Finally, GCF of Fractions for 7624/339, 9444/6455 is 4/2188245.