Online GCD Calculator is useful to find the GCD of 821, 832, 108, 122 quickly. Get the easiest ways to solve the greatest common divisor of 821, 832, 108, 122 i.e 1 in different methods as follows.
Given Input numbers are 821, 832, 108, 122
In the factoring method, we have to find the divisors of all numbers
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
GCD of numbers is the greatest common divisor
So, the GCD (821, 832, 108, 122) = 1.
Given numbers are 821, 832, 108, 122
The list of prime factors of all numbers are
Prime factors of 821 are 821
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 122 are 2 x 61
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 821, 832, 108, 122
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(821, 832) = 683072
GCD(821, 832) = ( 821 x 832 ) / 683072
= 821 / 832
= 821
Step2:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
Step3:
LCM(1, 122) = 122
GCD(1, 122) = ( 1 x 122 ) / 122
= 1 / 122
= 1
So, Greatest Common Divisor of 821, 832, 108, 122 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 821, 832, 108, 122
The greatest common divisor of numbers 821, 832, 108, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 832, 108, 122 is 1.
1. What is the GCD of 821, 832, 108, 122?
GCD of given numbers 821, 832, 108, 122 is 1
2. How to calculate the greatest common divisor of 821, 832, 108, 122?
We can find the highest common divisor of 821, 832, 108, 122 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 821, 832, 108, 122 i.e 1.
3. How can I use the GCD of 821, 832, 108, 122Calculator?
Out the numbers 821, 832, 108, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.