Greatest Common Factor of 394/207, 682/756, 475/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 394/207, 682/756, 475/614

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 394/207,682/756,475/614

Given fractions are 394/207,682/756,475/614

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 394,682,475

Greatest Common Factor of Numerators i.e. GCF of 394,682,475 is 1 .

LCM of Denominators means LCM of 207,756,614 as per the given fractions.

LCM of 207,756,614 is 5338116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 394,682,475

GCF of Fractions 394/207,682/756,475/614 is 1/5338116

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

Greatest Common Factor of 394,682,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,682,475 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 394,682,475 . The biggest common factor number is the GCF number.
So the greatest common factor 394,682,475 is 1.

Lets's calculate LCM of 207,756,614

2 207, 756, 614
3 207, 378, 307
3 69, 126, 307
23, 42, 307

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 42 x 307 = 5338116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5338116

Therefore, the GCF of Fractions 394/207,682/756,475/614 is 1/5338116

Least Common Multiple of 207,756,614 with GCF Formula

Least Common Multiple of 207,756,614 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 207,756,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(207,756,614) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(207,756,614) x common factors =1 x 18 = 18

LCM(207,756,614) = ( 207 × 756 × 614 ) / 18

LCM(207,756,614) = 96086088 / 18

LCM(207,756,614) = 5338116


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 394/207, 682/756, 475/614

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 394/207, 682/756, 475/614?

Answer: GCF of Numerators as per given numbers 394/207, 682/756, 475/614 is

GCF of Numerators i.e. for 394,682,475 is 1

LCM of denominators i.e. for 207,756,614 is 5338116.

Thus, GCF of Fractions is 1/5338116.Finally, GCF of Fractions for 394/207, 682/756, 475/614 is 1/5338116.