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 20, 151, 190, 550 i.e. 1 largest integer that divides all the numbers equally.
GCD of 20, 151, 190, 550 is 1
GCD(20, 151, 190, 550) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 20, 151, 190, 550 is 1
GCD(20, 151, 190, 550) = 1
Given Input numbers are 20, 151, 190, 550
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Greatest Common Divisior
We found the divisors of 20, 151, 190, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 151, 190, 550 is 1.
Therefore, GCD of numbers 20, 151, 190, 550 is 1
Given Input Data is 20, 151, 190, 550
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 151 is 151
Prime Factorization of 190 is 2 x 5 x 19
Prime Factorization of 550 is 2 x 5 x 5 x 11
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(20, 151) = 3020
GCD(20, 151) = ( 20 x 151 ) / 3020
GCD(20, 151) = 3020 / 3020
GCD(20, 151) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 190
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 190) = 190
GCD(1, 190) = ( 1 x 190 ) / 190
GCD(1, 190) = 190 / 190
GCD(1, 190) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 550
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 550) = 550
GCD(1, 550) = ( 1 x 550 ) / 550
GCD(1, 550) = 550 / 550
GCD(1, 550) = 1
GCD of 20, 151, 190, 550 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 20, 151, 190, 550?
GCD of 20, 151, 190, 550 is 1
2. Where do I get the detailed procedure to find GCD of 20, 151, 190, 550?
You can find a detailed procedure to find GCD of 20, 151, 190, 550 on our page.
3. How to find GCD of 20, 151, 190, 550 on a calculator?
You can find the GCD of 20, 151, 190, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.