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 402, 788, 86, 369 i.e. 1 largest integer that divides all the numbers equally.
GCD of 402, 788, 86, 369 is 1
GCD(402, 788, 86, 369) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 402, 788, 86, 369 is 1
GCD(402, 788, 86, 369) = 1
Given Input numbers are 402, 788, 86, 369
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Greatest Common Divisior
We found the divisors of 402, 788, 86, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 788, 86, 369 is 1.
Therefore, GCD of numbers 402, 788, 86, 369 is 1
Given Input Data is 402, 788, 86, 369
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 86 is 2 x 43
Prime Factorization of 369 is 3 x 3 x 41
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(402, 788) = 158388
GCD(402, 788) = ( 402 x 788 ) / 158388
GCD(402, 788) = 316776 / 158388
GCD(402, 788) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 86) = 86
GCD(2, 86) = ( 2 x 86 ) / 86
GCD(2, 86) = 172 / 86
GCD(2, 86) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 369) = 738
GCD(2, 369) = ( 2 x 369 ) / 738
GCD(2, 369) = 738 / 738
GCD(2, 369) = 1
GCD of 402, 788, 86, 369 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 402, 788, 86, 369?
GCD of 402, 788, 86, 369 is 1
2. Where do I get the detailed procedure to find GCD of 402, 788, 86, 369?
You can find a detailed procedure to find GCD of 402, 788, 86, 369 on our page.
3. How to find GCD of 402, 788, 86, 369 on a calculator?
You can find the GCD of 402, 788, 86, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.