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, 963, 46, 855 i.e. 1 largest integer that divides all the numbers equally.
GCD of 642, 963, 46, 855 is 1
GCD(642, 963, 46, 855) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 642, 963, 46, 855 is 1
GCD(642, 963, 46, 855) = 1
Given Input numbers are 642, 963, 46, 855
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 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Greatest Common Divisior
We found the divisors of 642, 963, 46, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 963, 46, 855 is 1.
Therefore, GCD of numbers 642, 963, 46, 855 is 1
Given Input Data is 642, 963, 46, 855
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 963 is 3 x 3 x 107
Prime Factorization of 46 is 2 x 23
Prime Factorization of 855 is 3 x 3 x 5 x 19
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, 963) = 1926
GCD(642, 963) = ( 642 x 963 ) / 1926
GCD(642, 963) = 618246 / 1926
GCD(642, 963) = 321
Step2:
Here we consider the GCD from the above i.e. 321 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(321, 46) = 14766
GCD(321, 46) = ( 321 x 46 ) / 14766
GCD(321, 46) = 14766 / 14766
GCD(321, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 855
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 855) = 855
GCD(1, 855) = ( 1 x 855 ) / 855
GCD(1, 855) = 855 / 855
GCD(1, 855) = 1
GCD of 642, 963, 46, 855 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 642, 963, 46, 855?
GCD of 642, 963, 46, 855 is 1
2. Where do I get the detailed procedure to find GCD of 642, 963, 46, 855?
You can find a detailed procedure to find GCD of 642, 963, 46, 855 on our page.
3. How to find GCD of 642, 963, 46, 855 on a calculator?
You can find the GCD of 642, 963, 46, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.