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 667, 904, 90, 628 i.e. 1 largest integer that divides all the numbers equally.
GCD of 667, 904, 90, 628 is 1
GCD(667, 904, 90, 628) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 667, 904, 90, 628 is 1
GCD(667, 904, 90, 628) = 1
Given Input numbers are 667, 904, 90, 628
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Greatest Common Divisior
We found the divisors of 667, 904, 90, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 904, 90, 628 is 1.
Therefore, GCD of numbers 667, 904, 90, 628 is 1
Given Input Data is 667, 904, 90, 628
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 667 is 23 x 29
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 628 is 2 x 2 x 157
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(667, 904) = 602968
GCD(667, 904) = ( 667 x 904 ) / 602968
GCD(667, 904) = 602968 / 602968
GCD(667, 904) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 628
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 628) = 628
GCD(1, 628) = ( 1 x 628 ) / 628
GCD(1, 628) = 628 / 628
GCD(1, 628) = 1
GCD of 667, 904, 90, 628 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 667, 904, 90, 628?
GCD of 667, 904, 90, 628 is 1
2. Where do I get the detailed procedure to find GCD of 667, 904, 90, 628?
You can find a detailed procedure to find GCD of 667, 904, 90, 628 on our page.
3. How to find GCD of 667, 904, 90, 628 on a calculator?
You can find the GCD of 667, 904, 90, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.