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 657, 667, 366, 664 i.e. 1 largest integer that divides all the numbers equally.
GCD of 657, 667, 366, 664 is 1
GCD(657, 667, 366, 664) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 657, 667, 366, 664 is 1
GCD(657, 667, 366, 664) = 1
Given Input numbers are 657, 667, 366, 664
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Greatest Common Divisior
We found the divisors of 657, 667, 366, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 667, 366, 664 is 1.
Therefore, GCD of numbers 657, 667, 366, 664 is 1
Given Input Data is 657, 667, 366, 664
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 667 is 23 x 29
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 664 is 2 x 2 x 2 x 83
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(657, 667) = 438219
GCD(657, 667) = ( 657 x 667 ) / 438219
GCD(657, 667) = 438219 / 438219
GCD(657, 667) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 366) = 366
GCD(1, 366) = ( 1 x 366 ) / 366
GCD(1, 366) = 366 / 366
GCD(1, 366) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 664
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 664) = 664
GCD(1, 664) = ( 1 x 664 ) / 664
GCD(1, 664) = 664 / 664
GCD(1, 664) = 1
GCD of 657, 667, 366, 664 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 657, 667, 366, 664?
GCD of 657, 667, 366, 664 is 1
2. Where do I get the detailed procedure to find GCD of 657, 667, 366, 664?
You can find a detailed procedure to find GCD of 657, 667, 366, 664 on our page.
3. How to find GCD of 657, 667, 366, 664 on a calculator?
You can find the GCD of 657, 667, 366, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.