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 597, 162, 85, 703 i.e. 1 largest integer that divides all the numbers equally.
GCD of 597, 162, 85, 703 is 1
GCD(597, 162, 85, 703) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 597, 162, 85, 703 is 1
GCD(597, 162, 85, 703) = 1
Given Input numbers are 597, 162, 85, 703
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Greatest Common Divisior
We found the divisors of 597, 162, 85, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 597, 162, 85, 703 is 1.
Therefore, GCD of numbers 597, 162, 85, 703 is 1
Given Input Data is 597, 162, 85, 703
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 597 is 3 x 199
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 85 is 5 x 17
Prime Factorization of 703 is 19 x 37
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(597, 162) = 32238
GCD(597, 162) = ( 597 x 162 ) / 32238
GCD(597, 162) = 96714 / 32238
GCD(597, 162) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 85) = 255
GCD(3, 85) = ( 3 x 85 ) / 255
GCD(3, 85) = 255 / 255
GCD(3, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 703
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 703) = 703
GCD(1, 703) = ( 1 x 703 ) / 703
GCD(1, 703) = 703 / 703
GCD(1, 703) = 1
GCD of 597, 162, 85, 703 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 597, 162, 85, 703?
GCD of 597, 162, 85, 703 is 1
2. Where do I get the detailed procedure to find GCD of 597, 162, 85, 703?
You can find a detailed procedure to find GCD of 597, 162, 85, 703 on our page.
3. How to find GCD of 597, 162, 85, 703 on a calculator?
You can find the GCD of 597, 162, 85, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.