Online GCD Calculator is useful to find the GCD of 556, 570, 72, 462 quickly. Get the easiest ways to solve the greatest common divisor of 556, 570, 72, 462 i.e 2 in different methods as follows.
Given Input numbers are 556, 570, 72, 462
In the factoring method, we have to find the divisors of all numbers
Divisors of 556 :
The positive integer divisors of 556 that completely divides 556 are.
1, 2, 4, 139, 278, 556
Divisors of 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
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 (556, 570, 72, 462) = 2.
Given numbers are 556, 570, 72, 462
The list of prime factors of all numbers are
Prime factors of 556 are 2 x 2 x 139
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 462 are 2 x 3 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 556, 570, 72, 462 is 2.
Given numbers are 556, 570, 72, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(556, 570) = 158460
GCD(556, 570) = ( 556 x 570 ) / 158460
= 556 / 570
= 556
Step2:
LCM(2, 72) = 72
GCD(2, 72) = ( 2 x 72 ) / 72
= 2 / 72
= 2
Step3:
LCM(2, 462) = 462
GCD(2, 462) = ( 2 x 462 ) / 462
= 2 / 462
= 2
So, Greatest Common Divisor of 556, 570, 72, 462 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 556, 570, 72, 462
The greatest common divisor of numbers 556, 570, 72, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 556, 570, 72, 462 is 2.
1. What is the GCD of 556, 570, 72, 462?
GCD of given numbers 556, 570, 72, 462 is 2
2. How to calculate the greatest common divisor of 556, 570, 72, 462?
We can find the highest common divisor of 556, 570, 72, 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 556, 570, 72, 462 i.e 2.
3. How can I use the GCD of 556, 570, 72, 462Calculator?
Out the numbers 556, 570, 72, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.