Greatest Common Factor of 738/312, 8043/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 738/312, 8043/197

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 738/312,8043/197

Given fractions are 738/312,8043/197

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 738,8043

Greatest Common Factor of Numerators i.e. GCF of 738,8043 is 3 .

LCM of Denominators means LCM of 312,197 as per the given fractions.

LCM of 312,197 is 61464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 738,8043

GCF of Fractions 738/312,8043/197 is 3/61464

3 738, 8043
246, 2681

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

Greatest Common Factor of 738,8043 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,8043 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 8043

List of positive integer factors of 8043 that divides 8043 without a remainder.

1,3,7,21,383,1149,2681,8043

Greatest Common Factor

We found the factors 738,8043 . The biggest common factor number is the GCF number.
So the greatest common factor 738,8043 is 3.

Lets's calculate LCM of 312,197

Given numbers has no common factors except 1. So, there LCM is their product i.e 61464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/61464

Therefore, the GCF of Fractions 738/312,8043/197 is 3/61464

Least Common Multiple of 312,197 with GCF Formula

Least Common Multiple of 312,197 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 312,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,197) = 1

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

GCF(312,197) x common factors =1 x 1 = 1

LCM(312,197) = ( 312 × 197 ) / 1

LCM(312,197) = 61464 / 1

LCM(312,197) = 61464


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 738/312, 8043/197

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 738/312, 8043/197?

Answer: GCF of Numerators as per given numbers 738/312, 8043/197 is

GCF of Numerators i.e. for 738,8043 is 3

LCM of denominators i.e. for 312,197 is 61464.

Thus, GCF of Fractions is 3/61464.Finally, GCF of Fractions for 738/312, 8043/197 is 3/61464.