Greatest Common Factor of 699/6194, 735/3627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 699/6194, 735/3627

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 699/6194,735/3627

Given fractions are 699/6194,735/3627

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 699,735

Greatest Common Factor of Numerators i.e. GCF of 699,735 is 3 .

LCM of Denominators means LCM of 6194,3627 as per the given fractions.

LCM of 6194,3627 is 22465638 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 699,735

GCF of Fractions 699/6194,735/3627 is 3/22465638

3 699, 735
233, 245

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

Greatest Common Factor of 699,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,735 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 699,735 . The biggest common factor number is the GCF number.
So the greatest common factor 699,735 is 3.

Lets's calculate LCM of 6194,3627

Given numbers has no common factors except 1. So, there LCM is their product i.e 22465638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/22465638

Therefore, the GCF of Fractions 699/6194,735/3627 is 3/22465638

Least Common Multiple of 6194,3627 with GCF Formula

Least Common Multiple of 6194,3627 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 6194,3627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6194,3627) = 1

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

GCF(6194,3627) x common factors =1 x 1 = 1

LCM(6194,3627) = ( 6194 × 3627 ) / 1

LCM(6194,3627) = 22465638 / 1

LCM(6194,3627) = 22465638


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 699/6194, 735/3627

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 699/6194, 735/3627?

Answer: GCF of Numerators as per given numbers 699/6194, 735/3627 is

GCF of Numerators i.e. for 699,735 is 3

LCM of denominators i.e. for 6194,3627 is 22465638.

Thus, GCF of Fractions is 3/22465638.Finally, GCF of Fractions for 699/6194, 735/3627 is 3/22465638.