Greatest Common Factor of 7368/547, 9948/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7368/547, 9948/316

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 7368/547,9948/316

Given fractions are 7368/547,9948/316

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 7368,9948

Greatest Common Factor of Numerators i.e. GCF of 7368,9948 is 12 .

LCM of Denominators means LCM of 547,316 as per the given fractions.

LCM of 547,316 is 172852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7368,9948

GCF of Fractions 7368/547,9948/316 is 12/172852

2 7368, 9948
2 3684, 4974
3 1842, 2487
614, 829

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 7368,9948 By Matching Biggest Common Factor Method

Greatest Common Factor of 7368,9948 By Matching Biggest Common Factor Method

Factors of 7368

List of positive integer factors of 7368 that divides 7368 without a remainder.

1,2,3,4,6,8,12,24,307,614,921,1228,1842,2456,3684,7368

Factors of 9948

List of positive integer factors of 9948 that divides 9948 without a remainder.

1,2,3,4,6,12,829,1658,2487,3316,4974,9948

Greatest Common Factor

We found the factors 7368,9948 . The biggest common factor number is the GCF number.
So the greatest common factor 7368,9948 is 12.

Lets's calculate LCM of 547,316

Given numbers has no common factors except 1. So, there LCM is their product i.e 172852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/172852

Therefore, the GCF of Fractions 7368/547,9948/316 is 12/172852

Least Common Multiple of 547,316 with GCF Formula

Least Common Multiple of 547,316 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 547,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(547,316) = 1

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

GCF(547,316) x common factors =1 x 1 = 1

LCM(547,316) = ( 547 × 316 ) / 1

LCM(547,316) = 172852 / 1

LCM(547,316) = 172852


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 7368/547, 9948/316

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 7368/547, 9948/316?

Answer: GCF of Numerators as per given numbers 7368/547, 9948/316 is

GCF of Numerators i.e. for 7368,9948 is 12

LCM of denominators i.e. for 547,316 is 172852.

Thus, GCF of Fractions is 12/172852.Finally, GCF of Fractions for 7368/547, 9948/316 is 12/172852.