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 565, 170, 75, 938 i.e. 1 largest integer that divides all the numbers equally.
GCD of 565, 170, 75, 938 is 1
GCD(565, 170, 75, 938) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 565, 170, 75, 938 is 1
GCD(565, 170, 75, 938) = 1
Given Input numbers are 565, 170, 75, 938
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Greatest Common Divisior
We found the divisors of 565, 170, 75, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 170, 75, 938 is 1.
Therefore, GCD of numbers 565, 170, 75, 938 is 1
Given Input Data is 565, 170, 75, 938
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 565 is 5 x 113
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 938 is 2 x 7 x 67
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(565, 170) = 19210
GCD(565, 170) = ( 565 x 170 ) / 19210
GCD(565, 170) = 96050 / 19210
GCD(565, 170) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 75) = 75
GCD(5, 75) = ( 5 x 75 ) / 75
GCD(5, 75) = 375 / 75
GCD(5, 75) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 938
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 938) = 4690
GCD(5, 938) = ( 5 x 938 ) / 4690
GCD(5, 938) = 4690 / 4690
GCD(5, 938) = 1
GCD of 565, 170, 75, 938 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 565, 170, 75, 938?
GCD of 565, 170, 75, 938 is 1
2. Where do I get the detailed procedure to find GCD of 565, 170, 75, 938?
You can find a detailed procedure to find GCD of 565, 170, 75, 938 on our page.
3. How to find GCD of 565, 170, 75, 938 on a calculator?
You can find the GCD of 565, 170, 75, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.