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 365, 974, 324, 597 i.e. 1 largest integer that divides all the numbers equally.
GCD of 365, 974, 324, 597 is 1
GCD(365, 974, 324, 597) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 365, 974, 324, 597 is 1
GCD(365, 974, 324, 597) = 1
Given Input numbers are 365, 974, 324, 597
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Greatest Common Divisior
We found the divisors of 365, 974, 324, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 974, 324, 597 is 1.
Therefore, GCD of numbers 365, 974, 324, 597 is 1
Given Input Data is 365, 974, 324, 597
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 365 is 5 x 73
Prime Factorization of 974 is 2 x 487
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 597 is 3 x 199
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(365, 974) = 355510
GCD(365, 974) = ( 365 x 974 ) / 355510
GCD(365, 974) = 355510 / 355510
GCD(365, 974) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
GCD(1, 324) = 324 / 324
GCD(1, 324) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 597
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 597) = 597
GCD(1, 597) = ( 1 x 597 ) / 597
GCD(1, 597) = 597 / 597
GCD(1, 597) = 1
GCD of 365, 974, 324, 597 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 365, 974, 324, 597?
GCD of 365, 974, 324, 597 is 1
2. Where do I get the detailed procedure to find GCD of 365, 974, 324, 597?
You can find a detailed procedure to find GCD of 365, 974, 324, 597 on our page.
3. How to find GCD of 365, 974, 324, 597 on a calculator?
You can find the GCD of 365, 974, 324, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.