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, 595, 42, 756 i.e. 1 largest integer that divides all the numbers equally.
GCD of 669, 595, 42, 756 is 1
GCD(669, 595, 42, 756) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 669, 595, 42, 756 is 1
GCD(669, 595, 42, 756) = 1
Given Input numbers are 669, 595, 42, 756
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 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Greatest Common Divisior
We found the divisors of 669, 595, 42, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 669, 595, 42, 756 is 1.
Therefore, GCD of numbers 669, 595, 42, 756 is 1
Given Input Data is 669, 595, 42, 756
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 669 is 3 x 223
Prime Factorization of 595 is 5 x 7 x 17
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
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, 595) = 398055
GCD(669, 595) = ( 669 x 595 ) / 398055
GCD(669, 595) = 398055 / 398055
GCD(669, 595) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 756
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 756) = 756
GCD(1, 756) = ( 1 x 756 ) / 756
GCD(1, 756) = 756 / 756
GCD(1, 756) = 1
GCD of 669, 595, 42, 756 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 669, 595, 42, 756?
GCD of 669, 595, 42, 756 is 1
2. Where do I get the detailed procedure to find GCD of 669, 595, 42, 756?
You can find a detailed procedure to find GCD of 669, 595, 42, 756 on our page.
3. How to find GCD of 669, 595, 42, 756 on a calculator?
You can find the GCD of 669, 595, 42, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.