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 61, 358, 463, 789 i.e. 1 largest integer that divides all the numbers equally.
GCD of 61, 358, 463, 789 is 1
GCD(61, 358, 463, 789) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 61, 358, 463, 789 is 1
GCD(61, 358, 463, 789) = 1
Given Input numbers are 61, 358, 463, 789
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Greatest Common Divisior
We found the divisors of 61, 358, 463, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 358, 463, 789 is 1.
Therefore, GCD of numbers 61, 358, 463, 789 is 1
Given Input Data is 61, 358, 463, 789
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 61 is 61
Prime Factorization of 358 is 2 x 179
Prime Factorization of 463 is 463
Prime Factorization of 789 is 3 x 263
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(61, 358) = 21838
GCD(61, 358) = ( 61 x 358 ) / 21838
GCD(61, 358) = 21838 / 21838
GCD(61, 358) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 463
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 463) = 463
GCD(1, 463) = ( 1 x 463 ) / 463
GCD(1, 463) = 463 / 463
GCD(1, 463) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 789) = 789
GCD(1, 789) = ( 1 x 789 ) / 789
GCD(1, 789) = 789 / 789
GCD(1, 789) = 1
GCD of 61, 358, 463, 789 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 61, 358, 463, 789?
GCD of 61, 358, 463, 789 is 1
2. Where do I get the detailed procedure to find GCD of 61, 358, 463, 789?
You can find a detailed procedure to find GCD of 61, 358, 463, 789 on our page.
3. How to find GCD of 61, 358, 463, 789 on a calculator?
You can find the GCD of 61, 358, 463, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.