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 170, 461, 36, 759 i.e. 1 largest integer that divides all the numbers equally.
GCD of 170, 461, 36, 759 is 1
GCD(170, 461, 36, 759) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 170, 461, 36, 759 is 1
GCD(170, 461, 36, 759) = 1
Given Input numbers are 170, 461, 36, 759
To find the GCD of numbers using factoring list out all the divisors of each number
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 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Greatest Common Divisior
We found the divisors of 170, 461, 36, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 461, 36, 759 is 1.
Therefore, GCD of numbers 170, 461, 36, 759 is 1
Given Input Data is 170, 461, 36, 759
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 461 is 461
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 759 is 3 x 11 x 23
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(170, 461) = 78370
GCD(170, 461) = ( 170 x 461 ) / 78370
GCD(170, 461) = 78370 / 78370
GCD(170, 461) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 759
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 759) = 759
GCD(1, 759) = ( 1 x 759 ) / 759
GCD(1, 759) = 759 / 759
GCD(1, 759) = 1
GCD of 170, 461, 36, 759 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 170, 461, 36, 759?
GCD of 170, 461, 36, 759 is 1
2. Where do I get the detailed procedure to find GCD of 170, 461, 36, 759?
You can find a detailed procedure to find GCD of 170, 461, 36, 759 on our page.
3. How to find GCD of 170, 461, 36, 759 on a calculator?
You can find the GCD of 170, 461, 36, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.