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 416, 790, 32, 143 i.e. 1 largest integer that divides all the numbers equally.
GCD of 416, 790, 32, 143 is 1
GCD(416, 790, 32, 143) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 416, 790, 32, 143 is 1
GCD(416, 790, 32, 143) = 1
Given Input numbers are 416, 790, 32, 143
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Greatest Common Divisior
We found the divisors of 416, 790, 32, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 790, 32, 143 is 1.
Therefore, GCD of numbers 416, 790, 32, 143 is 1
Given Input Data is 416, 790, 32, 143
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 790 is 2 x 5 x 79
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 143 is 11 x 13
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(416, 790) = 164320
GCD(416, 790) = ( 416 x 790 ) / 164320
GCD(416, 790) = 328640 / 164320
GCD(416, 790) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 32) = 32
GCD(2, 32) = ( 2 x 32 ) / 32
GCD(2, 32) = 64 / 32
GCD(2, 32) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 143
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 143) = 286
GCD(2, 143) = ( 2 x 143 ) / 286
GCD(2, 143) = 286 / 286
GCD(2, 143) = 1
GCD of 416, 790, 32, 143 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 416, 790, 32, 143?
GCD of 416, 790, 32, 143 is 1
2. Where do I get the detailed procedure to find GCD of 416, 790, 32, 143?
You can find a detailed procedure to find GCD of 416, 790, 32, 143 on our page.
3. How to find GCD of 416, 790, 32, 143 on a calculator?
You can find the GCD of 416, 790, 32, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.