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 53, 792, 963, 412 i.e. 1 largest integer that divides all the numbers equally.
GCD of 53, 792, 963, 412 is 1
GCD(53, 792, 963, 412) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 53, 792, 963, 412 is 1
GCD(53, 792, 963, 412) = 1
Given Input numbers are 53, 792, 963, 412
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Greatest Common Divisior
We found the divisors of 53, 792, 963, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 792, 963, 412 is 1.
Therefore, GCD of numbers 53, 792, 963, 412 is 1
Given Input Data is 53, 792, 963, 412
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 53 is 53
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 412 is 2 x 2 x 103
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(53, 792) = 41976
GCD(53, 792) = ( 53 x 792 ) / 41976
GCD(53, 792) = 41976 / 41976
GCD(53, 792) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 963
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 963) = 963
GCD(1, 963) = ( 1 x 963 ) / 963
GCD(1, 963) = 963 / 963
GCD(1, 963) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
GCD(1, 412) = 412 / 412
GCD(1, 412) = 1
GCD of 53, 792, 963, 412 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 53, 792, 963, 412?
GCD of 53, 792, 963, 412 is 1
2. Where do I get the detailed procedure to find GCD of 53, 792, 963, 412?
You can find a detailed procedure to find GCD of 53, 792, 963, 412 on our page.
3. How to find GCD of 53, 792, 963, 412 on a calculator?
You can find the GCD of 53, 792, 963, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.