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, 705, 437, 424 i.e. 1 largest integer that divides all the numbers equally.
GCD of 667, 705, 437, 424 is 1
GCD(667, 705, 437, 424) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 667, 705, 437, 424 is 1
GCD(667, 705, 437, 424) = 1
Given Input numbers are 667, 705, 437, 424
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 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Greatest Common Divisior
We found the divisors of 667, 705, 437, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 667, 705, 437, 424 is 1.
Therefore, GCD of numbers 667, 705, 437, 424 is 1
Given Input Data is 667, 705, 437, 424
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 667 is 23 x 29
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 437 is 19 x 23
Prime Factorization of 424 is 2 x 2 x 2 x 53
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, 705) = 470235
GCD(667, 705) = ( 667 x 705 ) / 470235
GCD(667, 705) = 470235 / 470235
GCD(667, 705) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 437
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 437) = 437
GCD(1, 437) = ( 1 x 437 ) / 437
GCD(1, 437) = 437 / 437
GCD(1, 437) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 424
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 424) = 424
GCD(1, 424) = ( 1 x 424 ) / 424
GCD(1, 424) = 424 / 424
GCD(1, 424) = 1
GCD of 667, 705, 437, 424 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 667, 705, 437, 424?
GCD of 667, 705, 437, 424 is 1
2. Where do I get the detailed procedure to find GCD of 667, 705, 437, 424?
You can find a detailed procedure to find GCD of 667, 705, 437, 424 on our page.
3. How to find GCD of 667, 705, 437, 424 on a calculator?
You can find the GCD of 667, 705, 437, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.