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, 892, 633, 508 i.e. 1 largest integer that divides all the numbers equally.
GCD of 667, 892, 633, 508 is 1
GCD(667, 892, 633, 508) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 667, 892, 633, 508 is 1
GCD(667, 892, 633, 508) = 1
Given Input numbers are 667, 892, 633, 508
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 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Greatest Common Divisior
We found the divisors of 667, 892, 633, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 892, 633, 508 is 1.
Therefore, GCD of numbers 667, 892, 633, 508 is 1
Given Input Data is 667, 892, 633, 508
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 667 is 23 x 29
Prime Factorization of 892 is 2 x 2 x 223
Prime Factorization of 633 is 3 x 211
Prime Factorization of 508 is 2 x 2 x 127
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, 892) = 594964
GCD(667, 892) = ( 667 x 892 ) / 594964
GCD(667, 892) = 594964 / 594964
GCD(667, 892) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 633
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 633) = 633
GCD(1, 633) = ( 1 x 633 ) / 633
GCD(1, 633) = 633 / 633
GCD(1, 633) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 508
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 508) = 508
GCD(1, 508) = ( 1 x 508 ) / 508
GCD(1, 508) = 508 / 508
GCD(1, 508) = 1
GCD of 667, 892, 633, 508 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 667, 892, 633, 508?
GCD of 667, 892, 633, 508 is 1
2. Where do I get the detailed procedure to find GCD of 667, 892, 633, 508?
You can find a detailed procedure to find GCD of 667, 892, 633, 508 on our page.
3. How to find GCD of 667, 892, 633, 508 on a calculator?
You can find the GCD of 667, 892, 633, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.