Online GCD Calculator is useful to find the GCD of 106, 564, 422, 477 quickly. Get the easiest ways to solve the greatest common divisor of 106, 564, 422, 477 i.e 1 in different methods as follows.
Given Input numbers are 106, 564, 422, 477
In the factoring method, we have to find the divisors of all numbers
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
GCD of numbers is the greatest common divisor
So, the GCD (106, 564, 422, 477) = 1.
Given numbers are 106, 564, 422, 477
The list of prime factors of all numbers are
Prime factors of 106 are 2 x 53
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 422 are 2 x 211
Prime factors of 477 are 3 x 3 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 106, 564, 422, 477
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(106, 564) = 29892
GCD(106, 564) = ( 106 x 564 ) / 29892
= 106 / 564
= 106
Step2:
LCM(2, 422) = 422
GCD(2, 422) = ( 2 x 422 ) / 422
= 2 / 422
= 2
Step3:
LCM(2, 477) = 954
GCD(2, 477) = ( 2 x 477 ) / 954
= 2 / 477
= 2
So, Greatest Common Divisor of 106, 564, 422, 477 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 106, 564, 422, 477
The greatest common divisor of numbers 106, 564, 422, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 564, 422, 477 is 1.
1. What is the GCD of 106, 564, 422, 477?
GCD of given numbers 106, 564, 422, 477 is 1
2. How to calculate the greatest common divisor of 106, 564, 422, 477?
We can find the highest common divisor of 106, 564, 422, 477 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 106, 564, 422, 477 i.e 1.
3. How can I use the GCD of 106, 564, 422, 477Calculator?
Out the numbers 106, 564, 422, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.