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 669, 771, 462, 413 i.e. 1 largest integer that divides all the numbers equally.
GCD of 669, 771, 462, 413 is 1
GCD(669, 771, 462, 413) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 669, 771, 462, 413 is 1
GCD(669, 771, 462, 413) = 1
Given Input numbers are 669, 771, 462, 413
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Greatest Common Divisior
We found the divisors of 669, 771, 462, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 669, 771, 462, 413 is 1.
Therefore, GCD of numbers 669, 771, 462, 413 is 1
Given Input Data is 669, 771, 462, 413
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 669 is 3 x 223
Prime Factorization of 771 is 3 x 257
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 413 is 7 x 59
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(669, 771) = 171933
GCD(669, 771) = ( 669 x 771 ) / 171933
GCD(669, 771) = 515799 / 171933
GCD(669, 771) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 462) = 462
GCD(3, 462) = ( 3 x 462 ) / 462
GCD(3, 462) = 1386 / 462
GCD(3, 462) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 413) = 1239
GCD(3, 413) = ( 3 x 413 ) / 1239
GCD(3, 413) = 1239 / 1239
GCD(3, 413) = 1
GCD of 669, 771, 462, 413 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 669, 771, 462, 413?
GCD of 669, 771, 462, 413 is 1
2. Where do I get the detailed procedure to find GCD of 669, 771, 462, 413?
You can find a detailed procedure to find GCD of 669, 771, 462, 413 on our page.
3. How to find GCD of 669, 771, 462, 413 on a calculator?
You can find the GCD of 669, 771, 462, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.