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 165, 362, 50, 142 i.e. 1 largest integer that divides all the numbers equally.
GCD of 165, 362, 50, 142 is 1
GCD(165, 362, 50, 142) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 165, 362, 50, 142 is 1
GCD(165, 362, 50, 142) = 1
Given Input numbers are 165, 362, 50, 142
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Greatest Common Divisior
We found the divisors of 165, 362, 50, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 362, 50, 142 is 1.
Therefore, GCD of numbers 165, 362, 50, 142 is 1
Given Input Data is 165, 362, 50, 142
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 362 is 2 x 181
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 142 is 2 x 71
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(165, 362) = 59730
GCD(165, 362) = ( 165 x 362 ) / 59730
GCD(165, 362) = 59730 / 59730
GCD(165, 362) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 50) = 50
GCD(1, 50) = ( 1 x 50 ) / 50
GCD(1, 50) = 50 / 50
GCD(1, 50) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
GCD(1, 142) = 142 / 142
GCD(1, 142) = 1
GCD of 165, 362, 50, 142 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 165, 362, 50, 142?
GCD of 165, 362, 50, 142 is 1
2. Where do I get the detailed procedure to find GCD of 165, 362, 50, 142?
You can find a detailed procedure to find GCD of 165, 362, 50, 142 on our page.
3. How to find GCD of 165, 362, 50, 142 on a calculator?
You can find the GCD of 165, 362, 50, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.