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 570, 387, 314, 985 i.e. 1 largest integer that divides all the numbers equally.
GCD of 570, 387, 314, 985 is 1
GCD(570, 387, 314, 985) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 570, 387, 314, 985 is 1
GCD(570, 387, 314, 985) = 1
Given Input numbers are 570, 387, 314, 985
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Greatest Common Divisior
We found the divisors of 570, 387, 314, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 387, 314, 985 is 1.
Therefore, GCD of numbers 570, 387, 314, 985 is 1
Given Input Data is 570, 387, 314, 985
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 570 is 2 x 3 x 5 x 19
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 314 is 2 x 157
Prime Factorization of 985 is 5 x 197
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(570, 387) = 73530
GCD(570, 387) = ( 570 x 387 ) / 73530
GCD(570, 387) = 220590 / 73530
GCD(570, 387) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 314
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 314) = 942
GCD(3, 314) = ( 3 x 314 ) / 942
GCD(3, 314) = 942 / 942
GCD(3, 314) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 985
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 985) = 985
GCD(1, 985) = ( 1 x 985 ) / 985
GCD(1, 985) = 985 / 985
GCD(1, 985) = 1
GCD of 570, 387, 314, 985 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 570, 387, 314, 985?
GCD of 570, 387, 314, 985 is 1
2. Where do I get the detailed procedure to find GCD of 570, 387, 314, 985?
You can find a detailed procedure to find GCD of 570, 387, 314, 985 on our page.
3. How to find GCD of 570, 387, 314, 985 on a calculator?
You can find the GCD of 570, 387, 314, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.