Online GCD Calculator is useful to find the GCD of 462, 590, 572 quickly. Get the easiest ways to solve the greatest common divisor of 462, 590, 572 i.e 2 in different methods as follows.
Given Input numbers are 462, 590, 572
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
GCD of numbers is the greatest common divisor
So, the GCD (462, 590, 572) = 2.
Given numbers are 462, 590, 572
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 590 are 2 x 5 x 59
Prime factors of 572 are 2 x 2 x 11 x 13
The highest common occurrence is 21
Therefore, GCD of 462, 590, 572 is 2.
Given numbers are 462, 590, 572
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 590) = 136290
GCD(462, 590) = ( 462 x 590 ) / 136290
= 462 / 590
= 462
Step2:
LCM(2, 572) = 572
GCD(2, 572) = ( 2 x 572 ) / 572
= 2 / 572
= 2
So, Greatest Common Divisor of 462, 590, 572 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 590, 572
The greatest common divisor of numbers 462, 590, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 590, 572 is 2.
1. What is the GCD of 462, 590, 572?
GCD of given numbers 462, 590, 572 is 2
2. How to calculate the greatest common divisor of 462, 590, 572?
We can find the highest common divisor of 462, 590, 572 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 462, 590, 572 i.e 2.
3. How can I use the GCD of 462, 590, 572Calculator?
Out the numbers 462, 590, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.