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 66, 971, 438, 432 i.e. 1 largest integer that divides all the numbers equally.
GCD of 66, 971, 438, 432 is 1
GCD(66, 971, 438, 432) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 66, 971, 438, 432 is 1
GCD(66, 971, 438, 432) = 1
Given Input numbers are 66, 971, 438, 432
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Greatest Common Divisior
We found the divisors of 66, 971, 438, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 971, 438, 432 is 1.
Therefore, GCD of numbers 66, 971, 438, 432 is 1
Given Input Data is 66, 971, 438, 432
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 971 is 971
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 432 is 2 x 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(66, 971) = 64086
GCD(66, 971) = ( 66 x 971 ) / 64086
GCD(66, 971) = 64086 / 64086
GCD(66, 971) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 438
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 438) = 438
GCD(1, 438) = ( 1 x 438 ) / 438
GCD(1, 438) = 438 / 438
GCD(1, 438) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
GCD(1, 432) = 432 / 432
GCD(1, 432) = 1
GCD of 66, 971, 438, 432 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 66, 971, 438, 432?
GCD of 66, 971, 438, 432 is 1
2. Where do I get the detailed procedure to find GCD of 66, 971, 438, 432?
You can find a detailed procedure to find GCD of 66, 971, 438, 432 on our page.
3. How to find GCD of 66, 971, 438, 432 on a calculator?
You can find the GCD of 66, 971, 438, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.