Greatest Common Factor of 6673/37, 8112/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6673/37, 8112/703

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 6673/37,8112/703

Given fractions are 6673/37,8112/703

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 6673,8112

Greatest Common Factor of Numerators i.e. GCF of 6673,8112 is 1 .

LCM of Denominators means LCM of 37,703 as per the given fractions.

LCM of 37,703 is 703 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6673,8112

GCF of Fractions 6673/37,8112/703 is 1/703

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6673,8112 By Matching Biggest Common Factor Method

Greatest Common Factor of 6673,8112 By Matching Biggest Common Factor Method

Factors of 6673

List of positive integer factors of 6673 that divides 6673 without a remainder.

1,6673

Factors of 8112

List of positive integer factors of 8112 that divides 8112 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,169,208,312,338,507,624,676,1014,1352,2028,2704,4056,8112

Greatest Common Factor

We found the factors 6673,8112 . The biggest common factor number is the GCF number.
So the greatest common factor 6673,8112 is 1.

Lets's calculate LCM of 37,703

37 37, 703
1, 19

∴ So the LCM of the given numbers is 37 x 1 x 19 = 703

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/703

Therefore, the GCF of Fractions 6673/37,8112/703 is 1/703

Least Common Multiple of 37,703 with GCF Formula

Least Common Multiple of 37,703 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 37,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,703) = 37

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

GCF(37,703) x common factors =37 x 1 = 37

LCM(37,703) = ( 37 × 703 ) / 37

LCM(37,703) = 26011 / 37

LCM(37,703) = 703


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 6673/37, 8112/703

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 6673/37, 8112/703?

Answer: GCF of Numerators as per given numbers 6673/37, 8112/703 is

GCF of Numerators i.e. for 6673,8112 is 1

LCM of denominators i.e. for 37,703 is 703.

Thus, GCF of Fractions is 1/703.Finally, GCF of Fractions for 6673/37, 8112/703 is 1/703.