Online GCD Calculator is useful to find the GCD of 590, 142, 240, 486 quickly. Get the easiest ways to solve the greatest common divisor of 590, 142, 240, 486 i.e 2 in different methods as follows.
Given Input numbers are 590, 142, 240, 486
In the factoring method, we have to find the divisors of all numbers
Divisors of 590 :
The positive integer divisors of 590 that completely divides 590 are.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
GCD of numbers is the greatest common divisor
So, the GCD (590, 142, 240, 486) = 2.
Given numbers are 590, 142, 240, 486
The list of prime factors of all numbers are
Prime factors of 590 are 2 x 5 x 59
Prime factors of 142 are 2 x 71
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 590, 142, 240, 486 is 2.
Given numbers are 590, 142, 240, 486
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(590, 142) = 41890
GCD(590, 142) = ( 590 x 142 ) / 41890
= 590 / 142
= 590
Step2:
LCM(2, 240) = 240
GCD(2, 240) = ( 2 x 240 ) / 240
= 2 / 240
= 2
Step3:
LCM(2, 486) = 486
GCD(2, 486) = ( 2 x 486 ) / 486
= 2 / 486
= 2
So, Greatest Common Divisor of 590, 142, 240, 486 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 590, 142, 240, 486
The greatest common divisor of numbers 590, 142, 240, 486 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 590, 142, 240, 486 is 2.
1. What is the GCD of 590, 142, 240, 486?
GCD of given numbers 590, 142, 240, 486 is 2
2. How to calculate the greatest common divisor of 590, 142, 240, 486?
We can find the highest common divisor of 590, 142, 240, 486 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 590, 142, 240, 486 i.e 2.
3. How can I use the GCD of 590, 142, 240, 486Calculator?
Out the numbers 590, 142, 240, 486 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.