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 664, 372, 508, 877 i.e. 1 largest integer that divides all the numbers equally.
GCD of 664, 372, 508, 877 is 1
GCD(664, 372, 508, 877) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 664, 372, 508, 877 is 1
GCD(664, 372, 508, 877) = 1
Given Input numbers are 664, 372, 508, 877
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 877
List of positive integer divisors of 877 that divides 877 without a remainder.
1, 877
Greatest Common Divisior
We found the divisors of 664, 372, 508, 877 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 372, 508, 877 is 1.
Therefore, GCD of numbers 664, 372, 508, 877 is 1
Given Input Data is 664, 372, 508, 877
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 877 is 877
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(664, 372) = 61752
GCD(664, 372) = ( 664 x 372 ) / 61752
GCD(664, 372) = 247008 / 61752
GCD(664, 372) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 508
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 508) = 508
GCD(4, 508) = ( 4 x 508 ) / 508
GCD(4, 508) = 2032 / 508
GCD(4, 508) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 877
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 877) = 3508
GCD(4, 877) = ( 4 x 877 ) / 3508
GCD(4, 877) = 3508 / 3508
GCD(4, 877) = 1
GCD of 664, 372, 508, 877 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 664, 372, 508, 877?
GCD of 664, 372, 508, 877 is 1
2. Where do I get the detailed procedure to find GCD of 664, 372, 508, 877?
You can find a detailed procedure to find GCD of 664, 372, 508, 877 on our page.
3. How to find GCD of 664, 372, 508, 877 on a calculator?
You can find the GCD of 664, 372, 508, 877 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.