Online GCD Calculator is useful to find the GCD of 821, 638, 539, 108 quickly. Get the easiest ways to solve the greatest common divisor of 821, 638, 539, 108 i.e 1 in different methods as follows.
Given Input numbers are 821, 638, 539, 108
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 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 539 :
The positive integer divisors of 539 that completely divides 539 are.
1, 7, 11, 49, 77, 539
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
GCD of numbers is the greatest common divisor
So, the GCD (821, 638, 539, 108) = 1.
Given numbers are 821, 638, 539, 108
The list of prime factors of all numbers are
Prime factors of 821 are 821
Prime factors of 638 are 2 x 11 x 29
Prime factors of 539 are 7 x 7 x 11
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 821, 638, 539, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(821, 638) = 523798
GCD(821, 638) = ( 821 x 638 ) / 523798
= 821 / 638
= 821
Step2:
LCM(1, 539) = 539
GCD(1, 539) = ( 1 x 539 ) / 539
= 1 / 539
= 1
Step3:
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
= 1 / 108
= 1
So, Greatest Common Divisor of 821, 638, 539, 108 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 821, 638, 539, 108
The greatest common divisor of numbers 821, 638, 539, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 638, 539, 108 is 1.
1. What is the GCD of 821, 638, 539, 108?
GCD of given numbers 821, 638, 539, 108 is 1
2. How to calculate the greatest common divisor of 821, 638, 539, 108?
We can find the highest common divisor of 821, 638, 539, 108 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, 638, 539, 108 i.e 1.
3. How can I use the GCD of 821, 638, 539, 108Calculator?
Out the numbers 821, 638, 539, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.