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 577, 648, 19, 150 i.e. 1 largest integer that divides all the numbers equally.
GCD of 577, 648, 19, 150 is 1
GCD(577, 648, 19, 150) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 577, 648, 19, 150 is 1
GCD(577, 648, 19, 150) = 1
Given Input numbers are 577, 648, 19, 150
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Greatest Common Divisior
We found the divisors of 577, 648, 19, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 648, 19, 150 is 1.
Therefore, GCD of numbers 577, 648, 19, 150 is 1
Given Input Data is 577, 648, 19, 150
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 577 is 577
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 19 is 19
Prime Factorization of 150 is 2 x 3 x 5 x 5
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(577, 648) = 373896
GCD(577, 648) = ( 577 x 648 ) / 373896
GCD(577, 648) = 373896 / 373896
GCD(577, 648) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 19) = 19
GCD(1, 19) = ( 1 x 19 ) / 19
GCD(1, 19) = 19 / 19
GCD(1, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 150
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 150) = 150
GCD(1, 150) = ( 1 x 150 ) / 150
GCD(1, 150) = 150 / 150
GCD(1, 150) = 1
GCD of 577, 648, 19, 150 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 577, 648, 19, 150?
GCD of 577, 648, 19, 150 is 1
2. Where do I get the detailed procedure to find GCD of 577, 648, 19, 150?
You can find a detailed procedure to find GCD of 577, 648, 19, 150 on our page.
3. How to find GCD of 577, 648, 19, 150 on a calculator?
You can find the GCD of 577, 648, 19, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.