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 158, 450, 18, 709 i.e. 1 largest integer that divides all the numbers equally.
GCD of 158, 450, 18, 709 is 1
GCD(158, 450, 18, 709) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 158, 450, 18, 709 is 1
GCD(158, 450, 18, 709) = 1
Given Input numbers are 158, 450, 18, 709
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Greatest Common Divisior
We found the divisors of 158, 450, 18, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 158, 450, 18, 709 is 1.
Therefore, GCD of numbers 158, 450, 18, 709 is 1
Given Input Data is 158, 450, 18, 709
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 158 is 2 x 79
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 709 is 709
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(158, 450) = 35550
GCD(158, 450) = ( 158 x 450 ) / 35550
GCD(158, 450) = 71100 / 35550
GCD(158, 450) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 18) = 18
GCD(2, 18) = ( 2 x 18 ) / 18
GCD(2, 18) = 36 / 18
GCD(2, 18) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 709
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 709) = 1418
GCD(2, 709) = ( 2 x 709 ) / 1418
GCD(2, 709) = 1418 / 1418
GCD(2, 709) = 1
GCD of 158, 450, 18, 709 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 158, 450, 18, 709?
GCD of 158, 450, 18, 709 is 1
2. Where do I get the detailed procedure to find GCD of 158, 450, 18, 709?
You can find a detailed procedure to find GCD of 158, 450, 18, 709 on our page.
3. How to find GCD of 158, 450, 18, 709 on a calculator?
You can find the GCD of 158, 450, 18, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.