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 150, 769, 17, 511 i.e. 1 largest integer that divides all the numbers equally.
GCD of 150, 769, 17, 511 is 1
GCD(150, 769, 17, 511) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 150, 769, 17, 511 is 1
GCD(150, 769, 17, 511) = 1
Given Input numbers are 150, 769, 17, 511
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Greatest Common Divisior
We found the divisors of 150, 769, 17, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 769, 17, 511 is 1.
Therefore, GCD of numbers 150, 769, 17, 511 is 1
Given Input Data is 150, 769, 17, 511
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 769 is 769
Prime Factorization of 17 is 17
Prime Factorization of 511 is 7 x 73
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(150, 769) = 115350
GCD(150, 769) = ( 150 x 769 ) / 115350
GCD(150, 769) = 115350 / 115350
GCD(150, 769) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 511
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 511) = 511
GCD(1, 511) = ( 1 x 511 ) / 511
GCD(1, 511) = 511 / 511
GCD(1, 511) = 1
GCD of 150, 769, 17, 511 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 150, 769, 17, 511?
GCD of 150, 769, 17, 511 is 1
2. Where do I get the detailed procedure to find GCD of 150, 769, 17, 511?
You can find a detailed procedure to find GCD of 150, 769, 17, 511 on our page.
3. How to find GCD of 150, 769, 17, 511 on a calculator?
You can find the GCD of 150, 769, 17, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.