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, 856, 81, 638 i.e. 1 largest integer that divides all the numbers equally.
GCD of 142, 856, 81, 638 is 1
GCD(142, 856, 81, 638) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 142, 856, 81, 638 is 1
GCD(142, 856, 81, 638) = 1
Given Input numbers are 142, 856, 81, 638
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 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Greatest Common Divisior
We found the divisors of 142, 856, 81, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 856, 81, 638 is 1.
Therefore, GCD of numbers 142, 856, 81, 638 is 1
Given Input Data is 142, 856, 81, 638
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 142 is 2 x 71
Prime Factorization of 856 is 2 x 2 x 2 x 107
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 638 is 2 x 11 x 29
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, 856) = 60776
GCD(142, 856) = ( 142 x 856 ) / 60776
GCD(142, 856) = 121552 / 60776
GCD(142, 856) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 81) = 162
GCD(2, 81) = ( 2 x 81 ) / 162
GCD(2, 81) = 162 / 162
GCD(2, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 638
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 638) = 638
GCD(1, 638) = ( 1 x 638 ) / 638
GCD(1, 638) = 638 / 638
GCD(1, 638) = 1
GCD of 142, 856, 81, 638 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 142, 856, 81, 638?
GCD of 142, 856, 81, 638 is 1
2. Where do I get the detailed procedure to find GCD of 142, 856, 81, 638?
You can find a detailed procedure to find GCD of 142, 856, 81, 638 on our page.
3. How to find GCD of 142, 856, 81, 638 on a calculator?
You can find the GCD of 142, 856, 81, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.