Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 642, 666, 20, 713 i.e. 1 largest integer that divides all the numbers equally.
GCD of 642, 666, 20, 713 is 1
GCD(642, 666, 20, 713) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 642, 666, 20, 713 is 1
GCD(642, 666, 20, 713) = 1
Given Input numbers are 642, 666, 20, 713
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Greatest Common Divisior
We found the divisors of 642, 666, 20, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 666, 20, 713 is 1.
Therefore, GCD of numbers 642, 666, 20, 713 is 1
Given Input Data is 642, 666, 20, 713
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 666 is 2 x 3 x 3 x 37
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 713 is 23 x 31
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(642, 666) = 71262
GCD(642, 666) = ( 642 x 666 ) / 71262
GCD(642, 666) = 427572 / 71262
GCD(642, 666) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 20) = 60
GCD(6, 20) = ( 6 x 20 ) / 60
GCD(6, 20) = 120 / 60
GCD(6, 20) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 713
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 713) = 1426
GCD(2, 713) = ( 2 x 713 ) / 1426
GCD(2, 713) = 1426 / 1426
GCD(2, 713) = 1
GCD of 642, 666, 20, 713 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 642, 666, 20, 713?
GCD of 642, 666, 20, 713 is 1
2. Where do I get the detailed procedure to find GCD of 642, 666, 20, 713?
You can find a detailed procedure to find GCD of 642, 666, 20, 713 on our page.
3. How to find GCD of 642, 666, 20, 713 on a calculator?
You can find the GCD of 642, 666, 20, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.