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 42, 155, 162, 446 i.e. 1 largest integer that divides all the numbers equally.
GCD of 42, 155, 162, 446 is 1
GCD(42, 155, 162, 446) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 42, 155, 162, 446 is 1
GCD(42, 155, 162, 446) = 1
Given Input numbers are 42, 155, 162, 446
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Greatest Common Divisior
We found the divisors of 42, 155, 162, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 155, 162, 446 is 1.
Therefore, GCD of numbers 42, 155, 162, 446 is 1
Given Input Data is 42, 155, 162, 446
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 155 is 5 x 31
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 446 is 2 x 223
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(42, 155) = 6510
GCD(42, 155) = ( 42 x 155 ) / 6510
GCD(42, 155) = 6510 / 6510
GCD(42, 155) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 162
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
GCD(1, 162) = 162 / 162
GCD(1, 162) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 446
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 446) = 446
GCD(1, 446) = ( 1 x 446 ) / 446
GCD(1, 446) = 446 / 446
GCD(1, 446) = 1
GCD of 42, 155, 162, 446 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 42, 155, 162, 446?
GCD of 42, 155, 162, 446 is 1
2. Where do I get the detailed procedure to find GCD of 42, 155, 162, 446?
You can find a detailed procedure to find GCD of 42, 155, 162, 446 on our page.
3. How to find GCD of 42, 155, 162, 446 on a calculator?
You can find the GCD of 42, 155, 162, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.