Online GCD Calculator is useful to find the GCD of 590, 420, 440 quickly. Get the easiest ways to solve the greatest common divisor of 590, 420, 440 i.e 10 in different methods as follows.
Given Input numbers are 590, 420, 440
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 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
GCD of numbers is the greatest common divisor
So, the GCD (590, 420, 440) = 10.
Given numbers are 590, 420, 440
The list of prime factors of all numbers are
Prime factors of 590 are 2 x 5 x 59
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
The highest common occurrence is 21 x 51
Therefore, GCD of 590, 420, 440 is 10.
Given numbers are 590, 420, 440
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(590, 420) = 24780
GCD(590, 420) = ( 590 x 420 ) / 24780
= 590 / 420
= 590
Step2:
LCM(10, 440) = 440
GCD(10, 440) = ( 10 x 440 ) / 440
= 10 / 440
= 10
So, Greatest Common Divisor of 590, 420, 440 is 10
Here are some samples of GCD of Numbers calculations.
Given numbers are 590, 420, 440
The greatest common divisor of numbers 590, 420, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 590, 420, 440 is 10.
1. What is the GCD of 590, 420, 440?
GCD of given numbers 590, 420, 440 is 10
2. How to calculate the greatest common divisor of 590, 420, 440?
We can find the highest common divisor of 590, 420, 440 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, 420, 440 i.e 10.
3. How can I use the GCD of 590, 420, 440Calculator?
Out the numbers 590, 420, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.