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, 827, 39, 516 i.e. 1 largest integer that divides all the numbers equally.
GCD of 642, 827, 39, 516 is 1
GCD(642, 827, 39, 516) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 642, 827, 39, 516 is 1
GCD(642, 827, 39, 516) = 1
Given Input numbers are 642, 827, 39, 516
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 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Greatest Common Divisior
We found the divisors of 642, 827, 39, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 827, 39, 516 is 1.
Therefore, GCD of numbers 642, 827, 39, 516 is 1
Given Input Data is 642, 827, 39, 516
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 827 is 827
Prime Factorization of 39 is 3 x 13
Prime Factorization of 516 is 2 x 2 x 3 x 43
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, 827) = 530934
GCD(642, 827) = ( 642 x 827 ) / 530934
GCD(642, 827) = 530934 / 530934
GCD(642, 827) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 39) = 39
GCD(1, 39) = ( 1 x 39 ) / 39
GCD(1, 39) = 39 / 39
GCD(1, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 516
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 516) = 516
GCD(1, 516) = ( 1 x 516 ) / 516
GCD(1, 516) = 516 / 516
GCD(1, 516) = 1
GCD of 642, 827, 39, 516 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 642, 827, 39, 516?
GCD of 642, 827, 39, 516 is 1
2. Where do I get the detailed procedure to find GCD of 642, 827, 39, 516?
You can find a detailed procedure to find GCD of 642, 827, 39, 516 on our page.
3. How to find GCD of 642, 827, 39, 516 on a calculator?
You can find the GCD of 642, 827, 39, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.