Greatest Common Factor of 7045/111, 3689/6168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7045/111, 3689/6168

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 7045/111,3689/6168

Given fractions are 7045/111,3689/6168

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 7045,3689

Greatest Common Factor of Numerators i.e. GCF of 7045,3689 is 1 .

LCM of Denominators means LCM of 111,6168 as per the given fractions.

LCM of 111,6168 is 228216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7045,3689

GCF of Fractions 7045/111,3689/6168 is 1/228216

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

Greatest Common Factor of 7045,3689 By Matching Biggest Common Factor Method

Greatest Common Factor of 7045,3689 By Matching Biggest Common Factor Method

Factors of 7045

List of positive integer factors of 7045 that divides 7045 without a remainder.

1,5,1409,7045

Factors of 3689

List of positive integer factors of 3689 that divides 3689 without a remainder.

1,7,17,31,119,217,527,3689

Greatest Common Factor

We found the factors 7045,3689 . The biggest common factor number is the GCF number.
So the greatest common factor 7045,3689 is 1.

Lets's calculate LCM of 111,6168

3 111, 6168
37, 2056

∴ So the LCM of the given numbers is 3 x 37 x 2056 = 228216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228216

Therefore, the GCF of Fractions 7045/111,3689/6168 is 1/228216

Least Common Multiple of 111,6168 with GCF Formula

Least Common Multiple of 111,6168 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 111,6168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,6168) = 3

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

GCF(111,6168) x common factors =3 x 1 = 3

LCM(111,6168) = ( 111 × 6168 ) / 3

LCM(111,6168) = 684648 / 3

LCM(111,6168) = 228216


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 7045/111, 3689/6168

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 7045/111, 3689/6168?

Answer: GCF of Numerators as per given numbers 7045/111, 3689/6168 is

GCF of Numerators i.e. for 7045,3689 is 1

LCM of denominators i.e. for 111,6168 is 228216.

Thus, GCF of Fractions is 1/228216.Finally, GCF of Fractions for 7045/111, 3689/6168 is 1/228216.