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 36, 441, 946, 971 i.e. 1 largest integer that divides all the numbers equally.
GCD of 36, 441, 946, 971 is 1
GCD(36, 441, 946, 971) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 36, 441, 946, 971 is 1
GCD(36, 441, 946, 971) = 1
Given Input numbers are 36, 441, 946, 971
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Greatest Common Divisior
We found the divisors of 36, 441, 946, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 441, 946, 971 is 1.
Therefore, GCD of numbers 36, 441, 946, 971 is 1
Given Input Data is 36, 441, 946, 971
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 946 is 2 x 11 x 43
Prime Factorization of 971 is 971
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(36, 441) = 1764
GCD(36, 441) = ( 36 x 441 ) / 1764
GCD(36, 441) = 15876 / 1764
GCD(36, 441) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 946) = 8514
GCD(9, 946) = ( 9 x 946 ) / 8514
GCD(9, 946) = 8514 / 8514
GCD(9, 946) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 971
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 971) = 971
GCD(1, 971) = ( 1 x 971 ) / 971
GCD(1, 971) = 971 / 971
GCD(1, 971) = 1
GCD of 36, 441, 946, 971 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 36, 441, 946, 971?
GCD of 36, 441, 946, 971 is 1
2. Where do I get the detailed procedure to find GCD of 36, 441, 946, 971?
You can find a detailed procedure to find GCD of 36, 441, 946, 971 on our page.
3. How to find GCD of 36, 441, 946, 971 on a calculator?
You can find the GCD of 36, 441, 946, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.