GCD of 822, 387, 38, 963 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 822, 387, 38, 963 quickly. Get the easiest ways to solve the greatest common divisor of 822, 387, 38, 963 i.e 1 in different methods as follows.
Given Input numbers are 822, 387, 38, 963
In the factoring method, we have to find the divisors of all numbers
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 38 :
The positive integer divisors of 38 that completely divides 38 are.
1, 2, 19, 38
Divisors of 963 :
The positive integer divisors of 963 that completely divides 963 are.
1, 3, 9, 107, 321, 963
GCD of numbers is the greatest common divisor
So, the GCD (822, 387, 38, 963) = 1.
Given numbers are 822, 387, 38, 963
The list of prime factors of all numbers are
Prime factors of 822 are 2 x 3 x 137
Prime factors of 387 are 3 x 3 x 43
Prime factors of 38 are 2 x 19
Prime factors of 963 are 3 x 3 x 107
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 822, 387, 38, 963 using LCM Formula
Given numbers are 822, 387, 38, 963
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(822, 387) = 106038
GCD(822, 387) = ( 822 x 387 ) / 106038
= 822 / 387
= 822
Step2:
LCM(3, 38) = 114
GCD(3, 38) = ( 3 x 38 ) / 114
= 3 / 38
= 3
Step3:
LCM(1, 963) = 963
GCD(1, 963) = ( 1 x 963 ) / 963
= 1 / 963
= 1
So, Greatest Common Divisor of 822, 387, 38, 963 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 822, 387, 38, 963
Given numbers are 822, 387, 38, 963
The greatest common divisor of numbers 822, 387, 38, 963 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 387, 38, 963 is 1.
FAQs on GCD of 822, 387, 38, 963 Calculator
1. What is the GCD of 822, 387, 38, 963?
GCD of given numbers 822, 387, 38, 963 is 1
2. How to calculate the greatest common divisor of 822, 387, 38, 963?
We can find the highest common divisor of 822, 387, 38, 963 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 822, 387, 38, 963 i.e 1.
3. How can I use the GCD of 822, 387, 38, 963Calculator?
Out the numbers 822, 387, 38, 963 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.