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 438, 709, 859, 170 i.e. 1 largest integer that divides all the numbers equally.
GCD of 438, 709, 859, 170 is 1
GCD(438, 709, 859, 170) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 438, 709, 859, 170 is 1
GCD(438, 709, 859, 170) = 1
Given Input numbers are 438, 709, 859, 170
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Greatest Common Divisior
We found the divisors of 438, 709, 859, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 709, 859, 170 is 1.
Therefore, GCD of numbers 438, 709, 859, 170 is 1
Given Input Data is 438, 709, 859, 170
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 709 is 709
Prime Factorization of 859 is 859
Prime Factorization of 170 is 2 x 5 x 17
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(438, 709) = 310542
GCD(438, 709) = ( 438 x 709 ) / 310542
GCD(438, 709) = 310542 / 310542
GCD(438, 709) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 859
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 859) = 859
GCD(1, 859) = ( 1 x 859 ) / 859
GCD(1, 859) = 859 / 859
GCD(1, 859) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 170
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 170) = 170
GCD(1, 170) = ( 1 x 170 ) / 170
GCD(1, 170) = 170 / 170
GCD(1, 170) = 1
GCD of 438, 709, 859, 170 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 438, 709, 859, 170?
GCD of 438, 709, 859, 170 is 1
2. Where do I get the detailed procedure to find GCD of 438, 709, 859, 170?
You can find a detailed procedure to find GCD of 438, 709, 859, 170 on our page.
3. How to find GCD of 438, 709, 859, 170 on a calculator?
You can find the GCD of 438, 709, 859, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.