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 16, 971, 764, 452 i.e. 1 largest integer that divides all the numbers equally.
GCD of 16, 971, 764, 452 is 1
GCD(16, 971, 764, 452) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 971, 764, 452 is 1
GCD(16, 971, 764, 452) = 1
Given Input numbers are 16, 971, 764, 452
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Greatest Common Divisior
We found the divisors of 16, 971, 764, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 971, 764, 452 is 1.
Therefore, GCD of numbers 16, 971, 764, 452 is 1
Given Input Data is 16, 971, 764, 452
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 971 is 971
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 452 is 2 x 2 x 113
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(16, 971) = 15536
GCD(16, 971) = ( 16 x 971 ) / 15536
GCD(16, 971) = 15536 / 15536
GCD(16, 971) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
GCD(1, 764) = 764 / 764
GCD(1, 764) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 452
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 452) = 452
GCD(1, 452) = ( 1 x 452 ) / 452
GCD(1, 452) = 452 / 452
GCD(1, 452) = 1
GCD of 16, 971, 764, 452 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 16, 971, 764, 452?
GCD of 16, 971, 764, 452 is 1
2. Where do I get the detailed procedure to find GCD of 16, 971, 764, 452?
You can find a detailed procedure to find GCD of 16, 971, 764, 452 on our page.
3. How to find GCD of 16, 971, 764, 452 on a calculator?
You can find the GCD of 16, 971, 764, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.