Greatest Common Factor of 7311/946, 9273/8384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7311/946, 9273/8384

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 7311/946,9273/8384

Given fractions are 7311/946,9273/8384

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 7311,9273

Greatest Common Factor of Numerators i.e. GCF of 7311,9273 is 3 .

LCM of Denominators means LCM of 946,8384 as per the given fractions.

LCM of 946,8384 is 3965632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7311,9273

GCF of Fractions 7311/946,9273/8384 is 3/3965632

3 7311, 9273
2437, 3091

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

Greatest Common Factor of 7311,9273 By Matching Biggest Common Factor Method

Greatest Common Factor of 7311,9273 By Matching Biggest Common Factor Method

Factors of 7311

List of positive integer factors of 7311 that divides 7311 without a remainder.

1,3,2437,7311

Factors of 9273

List of positive integer factors of 9273 that divides 9273 without a remainder.

1,3,11,33,281,843,3091,9273

Greatest Common Factor

We found the factors 7311,9273 . The biggest common factor number is the GCF number.
So the greatest common factor 7311,9273 is 3.

Lets's calculate LCM of 946,8384

2 946, 8384
473, 4192

∴ So the LCM of the given numbers is 2 x 473 x 4192 = 3965632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3965632

Therefore, the GCF of Fractions 7311/946,9273/8384 is 3/3965632

Least Common Multiple of 946,8384 with GCF Formula

Least Common Multiple of 946,8384 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 946,8384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,8384) = 2

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

GCF(946,8384) x common factors =2 x 1 = 2

LCM(946,8384) = ( 946 × 8384 ) / 2

LCM(946,8384) = 7931264 / 2

LCM(946,8384) = 3965632


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 7311/946, 9273/8384

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 7311/946, 9273/8384?

Answer: GCF of Numerators as per given numbers 7311/946, 9273/8384 is

GCF of Numerators i.e. for 7311,9273 is 3

LCM of denominators i.e. for 946,8384 is 3965632.

Thus, GCF of Fractions is 3/3965632.Finally, GCF of Fractions for 7311/946, 9273/8384 is 3/3965632.