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 972, 458, 285, 383 i.e. 1 largest integer that divides all the numbers equally.
GCD of 972, 458, 285, 383 is 1
GCD(972, 458, 285, 383) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 972, 458, 285, 383 is 1
GCD(972, 458, 285, 383) = 1
Given Input numbers are 972, 458, 285, 383
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Greatest Common Divisior
We found the divisors of 972, 458, 285, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 458, 285, 383 is 1.
Therefore, GCD of numbers 972, 458, 285, 383 is 1
Given Input Data is 972, 458, 285, 383
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 458 is 2 x 229
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 383 is 383
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(972, 458) = 222588
GCD(972, 458) = ( 972 x 458 ) / 222588
GCD(972, 458) = 445176 / 222588
GCD(972, 458) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 285
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 285) = 570
GCD(2, 285) = ( 2 x 285 ) / 570
GCD(2, 285) = 570 / 570
GCD(2, 285) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 383
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 383) = 383
GCD(1, 383) = ( 1 x 383 ) / 383
GCD(1, 383) = 383 / 383
GCD(1, 383) = 1
GCD of 972, 458, 285, 383 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 972, 458, 285, 383?
GCD of 972, 458, 285, 383 is 1
2. Where do I get the detailed procedure to find GCD of 972, 458, 285, 383?
You can find a detailed procedure to find GCD of 972, 458, 285, 383 on our page.
3. How to find GCD of 972, 458, 285, 383 on a calculator?
You can find the GCD of 972, 458, 285, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.