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, 201, 559, 272 i.e. 1 largest integer that divides all the numbers equally.
GCD of 142, 201, 559, 272 is 1
GCD(142, 201, 559, 272) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 142, 201, 559, 272 is 1
GCD(142, 201, 559, 272) = 1
Given Input numbers are 142, 201, 559, 272
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 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Greatest Common Divisior
We found the divisors of 142, 201, 559, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 201, 559, 272 is 1.
Therefore, GCD of numbers 142, 201, 559, 272 is 1
Given Input Data is 142, 201, 559, 272
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 142 is 2 x 71
Prime Factorization of 201 is 3 x 67
Prime Factorization of 559 is 13 x 43
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
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, 201) = 28542
GCD(142, 201) = ( 142 x 201 ) / 28542
GCD(142, 201) = 28542 / 28542
GCD(142, 201) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 559
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 559) = 559
GCD(1, 559) = ( 1 x 559 ) / 559
GCD(1, 559) = 559 / 559
GCD(1, 559) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
GCD(1, 272) = 272 / 272
GCD(1, 272) = 1
GCD of 142, 201, 559, 272 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 142, 201, 559, 272?
GCD of 142, 201, 559, 272 is 1
2. Where do I get the detailed procedure to find GCD of 142, 201, 559, 272?
You can find a detailed procedure to find GCD of 142, 201, 559, 272 on our page.
3. How to find GCD of 142, 201, 559, 272 on a calculator?
You can find the GCD of 142, 201, 559, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.