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 772, 508, 151, 855 i.e. 1 largest integer that divides all the numbers equally.
GCD of 772, 508, 151, 855 is 1
GCD(772, 508, 151, 855) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 772, 508, 151, 855 is 1
GCD(772, 508, 151, 855) = 1
Given Input numbers are 772, 508, 151, 855
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Greatest Common Divisior
We found the divisors of 772, 508, 151, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 508, 151, 855 is 1.
Therefore, GCD of numbers 772, 508, 151, 855 is 1
Given Input Data is 772, 508, 151, 855
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 151 is 151
Prime Factorization of 855 is 3 x 3 x 5 x 19
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(772, 508) = 98044
GCD(772, 508) = ( 772 x 508 ) / 98044
GCD(772, 508) = 392176 / 98044
GCD(772, 508) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 151
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 151) = 604
GCD(4, 151) = ( 4 x 151 ) / 604
GCD(4, 151) = 604 / 604
GCD(4, 151) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 855
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 855) = 855
GCD(1, 855) = ( 1 x 855 ) / 855
GCD(1, 855) = 855 / 855
GCD(1, 855) = 1
GCD of 772, 508, 151, 855 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 772, 508, 151, 855?
GCD of 772, 508, 151, 855 is 1
2. Where do I get the detailed procedure to find GCD of 772, 508, 151, 855?
You can find a detailed procedure to find GCD of 772, 508, 151, 855 on our page.
3. How to find GCD of 772, 508, 151, 855 on a calculator?
You can find the GCD of 772, 508, 151, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.