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 63, 164, 987, 213 i.e. 1 largest integer that divides all the numbers equally.
GCD of 63, 164, 987, 213 is 1
GCD(63, 164, 987, 213) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 63, 164, 987, 213 is 1
GCD(63, 164, 987, 213) = 1
Given Input numbers are 63, 164, 987, 213
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Greatest Common Divisior
We found the divisors of 63, 164, 987, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 164, 987, 213 is 1.
Therefore, GCD of numbers 63, 164, 987, 213 is 1
Given Input Data is 63, 164, 987, 213
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 213 is 3 x 71
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(63, 164) = 10332
GCD(63, 164) = ( 63 x 164 ) / 10332
GCD(63, 164) = 10332 / 10332
GCD(63, 164) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 213
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
GCD(1, 213) = 213 / 213
GCD(1, 213) = 1
GCD of 63, 164, 987, 213 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 63, 164, 987, 213?
GCD of 63, 164, 987, 213 is 1
2. Where do I get the detailed procedure to find GCD of 63, 164, 987, 213?
You can find a detailed procedure to find GCD of 63, 164, 987, 213 on our page.
3. How to find GCD of 63, 164, 987, 213 on a calculator?
You can find the GCD of 63, 164, 987, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.