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 142, 527, 406, 446 i.e. 1 largest integer that divides all the numbers equally.
GCD of 142, 527, 406, 446 is 1
GCD(142, 527, 406, 446) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 142, 527, 406, 446 is 1
GCD(142, 527, 406, 446) = 1
Given Input numbers are 142, 527, 406, 446
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Greatest Common Divisior
We found the divisors of 142, 527, 406, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 527, 406, 446 is 1.
Therefore, GCD of numbers 142, 527, 406, 446 is 1
Given Input Data is 142, 527, 406, 446
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 142 is 2 x 71
Prime Factorization of 527 is 17 x 31
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 446 is 2 x 223
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(142, 527) = 74834
GCD(142, 527) = ( 142 x 527 ) / 74834
GCD(142, 527) = 74834 / 74834
GCD(142, 527) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 406
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 406) = 406
GCD(1, 406) = ( 1 x 406 ) / 406
GCD(1, 406) = 406 / 406
GCD(1, 406) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 446
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 446) = 446
GCD(1, 446) = ( 1 x 446 ) / 446
GCD(1, 446) = 446 / 446
GCD(1, 446) = 1
GCD of 142, 527, 406, 446 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 142, 527, 406, 446?
GCD of 142, 527, 406, 446 is 1
2. Where do I get the detailed procedure to find GCD of 142, 527, 406, 446?
You can find a detailed procedure to find GCD of 142, 527, 406, 446 on our page.
3. How to find GCD of 142, 527, 406, 446 on a calculator?
You can find the GCD of 142, 527, 406, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.