Online GCD Calculator is useful to find the GCD of 572, 918, 42, 590 quickly. Get the easiest ways to solve the greatest common divisor of 572, 918, 42, 590 i.e 2 in different methods as follows.
Given Input numbers are 572, 918, 42, 590
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 42 :
The positive integer divisors of 42 that completely divides 42 are.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
GCD of numbers is the greatest common divisor
So, the GCD (572, 918, 42, 590) = 2.
Given numbers are 572, 918, 42, 590
The list of prime factors of all numbers are
Prime factors of 572 are 2 x 2 x 11 x 13
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 42 are 2 x 3 x 7
Prime factors of 590 are 2 x 5 x 59
The highest common occurrence is 21
Therefore, GCD of 572, 918, 42, 590 is 2.
Given numbers are 572, 918, 42, 590
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(572, 918) = 262548
GCD(572, 918) = ( 572 x 918 ) / 262548
= 572 / 918
= 572
Step2:
LCM(2, 42) = 42
GCD(2, 42) = ( 2 x 42 ) / 42
= 2 / 42
= 2
Step3:
LCM(2, 590) = 590
GCD(2, 590) = ( 2 x 590 ) / 590
= 2 / 590
= 2
So, Greatest Common Divisor of 572, 918, 42, 590 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 572, 918, 42, 590
The greatest common divisor of numbers 572, 918, 42, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 572, 918, 42, 590 is 2.
1. What is the GCD of 572, 918, 42, 590?
GCD of given numbers 572, 918, 42, 590 is 2
2. How to calculate the greatest common divisor of 572, 918, 42, 590?
We can find the highest common divisor of 572, 918, 42, 590 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 572, 918, 42, 590 i.e 2.
3. How can I use the GCD of 572, 918, 42, 590Calculator?
Out the numbers 572, 918, 42, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.