Online GCD Calculator is useful to find the GCD of 561, 167, 308, 462 quickly. Get the easiest ways to solve the greatest common divisor of 561, 167, 308, 462 i.e 1 in different methods as follows.
Given Input numbers are 561, 167, 308, 462
In the factoring method, we have to find the divisors of all numbers
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 167 :
The positive integer divisors of 167 that completely divides 167 are.
1, 167
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
GCD of numbers is the greatest common divisor
So, the GCD (561, 167, 308, 462) = 1.
Given numbers are 561, 167, 308, 462
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 167 are 167
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 462 are 2 x 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 167, 308, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 167) = 93687
GCD(561, 167) = ( 561 x 167 ) / 93687
= 561 / 167
= 561
Step2:
LCM(1, 308) = 308
GCD(1, 308) = ( 1 x 308 ) / 308
= 1 / 308
= 1
Step3:
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
= 1 / 462
= 1
So, Greatest Common Divisor of 561, 167, 308, 462 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 167, 308, 462
The greatest common divisor of numbers 561, 167, 308, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 167, 308, 462 is 1.
1. What is the GCD of 561, 167, 308, 462?
GCD of given numbers 561, 167, 308, 462 is 1
2. How to calculate the greatest common divisor of 561, 167, 308, 462?
We can find the highest common divisor of 561, 167, 308, 462 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 561, 167, 308, 462 i.e 1.
3. How can I use the GCD of 561, 167, 308, 462Calculator?
Out the numbers 561, 167, 308, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.