Greatest Common Factor of 8196/73, 7400/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8196/73, 7400/543

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 8196/73,7400/543

Given fractions are 8196/73,7400/543

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 8196,7400

Greatest Common Factor of Numerators i.e. GCF of 8196,7400 is 4 .

LCM of Denominators means LCM of 73,543 as per the given fractions.

LCM of 73,543 is 39639 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8196,7400

GCF of Fractions 8196/73,7400/543 is 4/39639

2 8196, 7400
2 4098, 3700
2049, 1850

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

Greatest Common Factor of 8196,7400 By Matching Biggest Common Factor Method

Greatest Common Factor of 8196,7400 By Matching Biggest Common Factor Method

Factors of 8196

List of positive integer factors of 8196 that divides 8196 without a remainder.

1,2,3,4,6,12,683,1366,2049,2732,4098,8196

Factors of 7400

List of positive integer factors of 7400 that divides 7400 without a remainder.

1,2,4,5,8,10,20,25,37,40,50,74,100,148,185,200,296,370,740,925,1480,1850,3700,7400

Greatest Common Factor

We found the factors 8196,7400 . The biggest common factor number is the GCF number.
So the greatest common factor 8196,7400 is 4.

Lets's calculate LCM of 73,543

Given numbers has no common factors except 1. So, there LCM is their product i.e 39639

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/39639

Therefore, the GCF of Fractions 8196/73,7400/543 is 4/39639

Least Common Multiple of 73,543 with GCF Formula

Least Common Multiple of 73,543 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 73,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,543) = 1

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

GCF(73,543) x common factors =1 x 1 = 1

LCM(73,543) = ( 73 × 543 ) / 1

LCM(73,543) = 39639 / 1

LCM(73,543) = 39639


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 8196/73, 7400/543

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 8196/73, 7400/543?

Answer: GCF of Numerators as per given numbers 8196/73, 7400/543 is

GCF of Numerators i.e. for 8196,7400 is 4

LCM of denominators i.e. for 73,543 is 39639.

Thus, GCF of Fractions is 4/39639.Finally, GCF of Fractions for 8196/73, 7400/543 is 4/39639.