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, 872, 43, 537 i.e. 1 largest integer that divides all the numbers equally.
GCD of 142, 872, 43, 537 is 1
GCD(142, 872, 43, 537) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 142, 872, 43, 537 is 1
GCD(142, 872, 43, 537) = 1
Given Input numbers are 142, 872, 43, 537
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 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Greatest Common Divisior
We found the divisors of 142, 872, 43, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 872, 43, 537 is 1.
Therefore, GCD of numbers 142, 872, 43, 537 is 1
Given Input Data is 142, 872, 43, 537
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 142 is 2 x 71
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 43 is 43
Prime Factorization of 537 is 3 x 179
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, 872) = 61912
GCD(142, 872) = ( 142 x 872 ) / 61912
GCD(142, 872) = 123824 / 61912
GCD(142, 872) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 43) = 86
GCD(2, 43) = ( 2 x 43 ) / 86
GCD(2, 43) = 86 / 86
GCD(2, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 537) = 537
GCD(1, 537) = ( 1 x 537 ) / 537
GCD(1, 537) = 537 / 537
GCD(1, 537) = 1
GCD of 142, 872, 43, 537 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 142, 872, 43, 537?
GCD of 142, 872, 43, 537 is 1
2. Where do I get the detailed procedure to find GCD of 142, 872, 43, 537?
You can find a detailed procedure to find GCD of 142, 872, 43, 537 on our page.
3. How to find GCD of 142, 872, 43, 537 on a calculator?
You can find the GCD of 142, 872, 43, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.