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 890, 637, 402, 216 i.e. 1 largest integer that divides all the numbers equally.
GCD of 890, 637, 402, 216 is 1
GCD(890, 637, 402, 216) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 890, 637, 402, 216 is 1
GCD(890, 637, 402, 216) = 1
Given Input numbers are 890, 637, 402, 216
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Greatest Common Divisior
We found the divisors of 890, 637, 402, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 637, 402, 216 is 1.
Therefore, GCD of numbers 890, 637, 402, 216 is 1
Given Input Data is 890, 637, 402, 216
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
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(890, 637) = 566930
GCD(890, 637) = ( 890 x 637 ) / 566930
GCD(890, 637) = 566930 / 566930
GCD(890, 637) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
GCD(1, 402) = 402 / 402
GCD(1, 402) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
GCD(1, 216) = 216 / 216
GCD(1, 216) = 1
GCD of 890, 637, 402, 216 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 890, 637, 402, 216?
GCD of 890, 637, 402, 216 is 1
2. Where do I get the detailed procedure to find GCD of 890, 637, 402, 216?
You can find a detailed procedure to find GCD of 890, 637, 402, 216 on our page.
3. How to find GCD of 890, 637, 402, 216 on a calculator?
You can find the GCD of 890, 637, 402, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.