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 85, 300, 569, 370 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 300, 569, 370 is 1
GCD(85, 300, 569, 370) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 300, 569, 370 is 1
GCD(85, 300, 569, 370) = 1
Given Input numbers are 85, 300, 569, 370
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Greatest Common Divisior
We found the divisors of 85, 300, 569, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 300, 569, 370 is 1.
Therefore, GCD of numbers 85, 300, 569, 370 is 1
Given Input Data is 85, 300, 569, 370
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 569 is 569
Prime Factorization of 370 is 2 x 5 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(85, 300) = 5100
GCD(85, 300) = ( 85 x 300 ) / 5100
GCD(85, 300) = 25500 / 5100
GCD(85, 300) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 569
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 569) = 2845
GCD(5, 569) = ( 5 x 569 ) / 2845
GCD(5, 569) = 2845 / 2845
GCD(5, 569) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 370
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 370) = 370
GCD(1, 370) = ( 1 x 370 ) / 370
GCD(1, 370) = 370 / 370
GCD(1, 370) = 1
GCD of 85, 300, 569, 370 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 300, 569, 370?
GCD of 85, 300, 569, 370 is 1
2. Where do I get the detailed procedure to find GCD of 85, 300, 569, 370?
You can find a detailed procedure to find GCD of 85, 300, 569, 370 on our page.
3. How to find GCD of 85, 300, 569, 370 on a calculator?
You can find the GCD of 85, 300, 569, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.