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 131, 943, 36, 402 i.e. 1 largest integer that divides all the numbers equally.
GCD of 131, 943, 36, 402 is 1
GCD(131, 943, 36, 402) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 131, 943, 36, 402 is 1
GCD(131, 943, 36, 402) = 1
Given Input numbers are 131, 943, 36, 402
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Greatest Common Divisior
We found the divisors of 131, 943, 36, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 943, 36, 402 is 1.
Therefore, GCD of numbers 131, 943, 36, 402 is 1
Given Input Data is 131, 943, 36, 402
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 131 is 131
Prime Factorization of 943 is 23 x 41
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 402 is 2 x 3 x 67
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(131, 943) = 123533
GCD(131, 943) = ( 131 x 943 ) / 123533
GCD(131, 943) = 123533 / 123533
GCD(131, 943) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
GCD(1, 402) = 402 / 402
GCD(1, 402) = 1
GCD of 131, 943, 36, 402 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 131, 943, 36, 402?
GCD of 131, 943, 36, 402 is 1
2. Where do I get the detailed procedure to find GCD of 131, 943, 36, 402?
You can find a detailed procedure to find GCD of 131, 943, 36, 402 on our page.
3. How to find GCD of 131, 943, 36, 402 on a calculator?
You can find the GCD of 131, 943, 36, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.