Greatest Common Factor of 6676/737, 9793/1891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6676/737, 9793/1891

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 6676/737,9793/1891

Given fractions are 6676/737,9793/1891

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 6676,9793

Greatest Common Factor of Numerators i.e. GCF of 6676,9793 is 1 .

LCM of Denominators means LCM of 737,1891 as per the given fractions.

LCM of 737,1891 is 1393667 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6676,9793

GCF of Fractions 6676/737,9793/1891 is 1/1393667

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

Greatest Common Factor of 6676,9793 By Matching Biggest Common Factor Method

Greatest Common Factor of 6676,9793 By Matching Biggest Common Factor Method

Factors of 6676

List of positive integer factors of 6676 that divides 6676 without a remainder.

1,2,4,1669,3338,6676

Factors of 9793

List of positive integer factors of 9793 that divides 9793 without a remainder.

1,7,1399,9793

Greatest Common Factor

We found the factors 6676,9793 . The biggest common factor number is the GCF number.
So the greatest common factor 6676,9793 is 1.

Lets's calculate LCM of 737,1891

Given numbers has no common factors except 1. So, there LCM is their product i.e 1393667

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1393667

Therefore, the GCF of Fractions 6676/737,9793/1891 is 1/1393667

Least Common Multiple of 737,1891 with GCF Formula

Least Common Multiple of 737,1891 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 737,1891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(737,1891) = 1

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

GCF(737,1891) x common factors =1 x 1 = 1

LCM(737,1891) = ( 737 × 1891 ) / 1

LCM(737,1891) = 1393667 / 1

LCM(737,1891) = 1393667


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 6676/737, 9793/1891

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 6676/737, 9793/1891?

Answer: GCF of Numerators as per given numbers 6676/737, 9793/1891 is

GCF of Numerators i.e. for 6676,9793 is 1

LCM of denominators i.e. for 737,1891 is 1393667.

Thus, GCF of Fractions is 1/1393667.Finally, GCF of Fractions for 6676/737, 9793/1891 is 1/1393667.