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 628, 150, 887, 772 i.e. 1 largest integer that divides all the numbers equally.
GCD of 628, 150, 887, 772 is 1
GCD(628, 150, 887, 772) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 628, 150, 887, 772 is 1
GCD(628, 150, 887, 772) = 1
Given Input numbers are 628, 150, 887, 772
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
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 887
List of positive integer divisors of 887 that divides 887 without a remainder.
1, 887
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Greatest Common Divisior
We found the divisors of 628, 150, 887, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 150, 887, 772 is 1.
Therefore, GCD of numbers 628, 150, 887, 772 is 1
Given Input Data is 628, 150, 887, 772
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 628 is 2 x 2 x 157
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 887 is 887
Prime Factorization of 772 is 2 x 2 x 193
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(628, 150) = 47100
GCD(628, 150) = ( 628 x 150 ) / 47100
GCD(628, 150) = 94200 / 47100
GCD(628, 150) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 887
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 887) = 1774
GCD(2, 887) = ( 2 x 887 ) / 1774
GCD(2, 887) = 1774 / 1774
GCD(2, 887) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
GCD(1, 772) = 772 / 772
GCD(1, 772) = 1
GCD of 628, 150, 887, 772 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 628, 150, 887, 772?
GCD of 628, 150, 887, 772 is 1
2. Where do I get the detailed procedure to find GCD of 628, 150, 887, 772?
You can find a detailed procedure to find GCD of 628, 150, 887, 772 on our page.
3. How to find GCD of 628, 150, 887, 772 on a calculator?
You can find the GCD of 628, 150, 887, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.