Greatest Common Factor of 6789/40, 3752/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6789/40, 3752/417

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 6789/40,3752/417

Given fractions are 6789/40,3752/417

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 6789,3752

Greatest Common Factor of Numerators i.e. GCF of 6789,3752 is 1 .

LCM of Denominators means LCM of 40,417 as per the given fractions.

LCM of 40,417 is 16680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6789,3752

GCF of Fractions 6789/40,3752/417 is 1/16680

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

Greatest Common Factor of 6789,3752 By Matching Biggest Common Factor Method

Greatest Common Factor of 6789,3752 By Matching Biggest Common Factor Method

Factors of 6789

List of positive integer factors of 6789 that divides 6789 without a remainder.

1,3,31,73,93,219,2263,6789

Factors of 3752

List of positive integer factors of 3752 that divides 3752 without a remainder.

1,2,4,7,8,14,28,56,67,134,268,469,536,938,1876,3752

Greatest Common Factor

We found the factors 6789,3752 . The biggest common factor number is the GCF number.
So the greatest common factor 6789,3752 is 1.

Lets's calculate LCM of 40,417

Given numbers has no common factors except 1. So, there LCM is their product i.e 16680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16680

Therefore, the GCF of Fractions 6789/40,3752/417 is 1/16680

Least Common Multiple of 40,417 with GCF Formula

Least Common Multiple of 40,417 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 40,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,417) = 1

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

GCF(40,417) x common factors =1 x 1 = 1

LCM(40,417) = ( 40 × 417 ) / 1

LCM(40,417) = 16680 / 1

LCM(40,417) = 16680


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 6789/40, 3752/417

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 6789/40, 3752/417?

Answer: GCF of Numerators as per given numbers 6789/40, 3752/417 is

GCF of Numerators i.e. for 6789,3752 is 1

LCM of denominators i.e. for 40,417 is 16680.

Thus, GCF of Fractions is 1/16680.Finally, GCF of Fractions for 6789/40, 3752/417 is 1/16680.