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 786, 590, 763, 236 i.e. 1 largest integer that divides all the numbers equally.
GCD of 786, 590, 763, 236 is 1
GCD(786, 590, 763, 236) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 786, 590, 763, 236 is 1
GCD(786, 590, 763, 236) = 1
Given Input numbers are 786, 590, 763, 236
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Greatest Common Divisior
We found the divisors of 786, 590, 763, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 590, 763, 236 is 1.
Therefore, GCD of numbers 786, 590, 763, 236 is 1
Given Input Data is 786, 590, 763, 236
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 786 is 2 x 3 x 131
Prime Factorization of 590 is 2 x 5 x 59
Prime Factorization of 763 is 7 x 109
Prime Factorization of 236 is 2 x 2 x 59
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(786, 590) = 231870
GCD(786, 590) = ( 786 x 590 ) / 231870
GCD(786, 590) = 463740 / 231870
GCD(786, 590) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 763) = 1526
GCD(2, 763) = ( 2 x 763 ) / 1526
GCD(2, 763) = 1526 / 1526
GCD(2, 763) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 236
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 236) = 236
GCD(1, 236) = ( 1 x 236 ) / 236
GCD(1, 236) = 236 / 236
GCD(1, 236) = 1
GCD of 786, 590, 763, 236 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 786, 590, 763, 236?
GCD of 786, 590, 763, 236 is 1
2. Where do I get the detailed procedure to find GCD of 786, 590, 763, 236?
You can find a detailed procedure to find GCD of 786, 590, 763, 236 on our page.
3. How to find GCD of 786, 590, 763, 236 on a calculator?
You can find the GCD of 786, 590, 763, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.