Online GCD Calculator is useful to find the GCD of 420, 400, 362, 590 quickly. Get the easiest ways to solve the greatest common divisor of 420, 400, 362, 590 i.e 2 in different methods as follows.
Given Input numbers are 420, 400, 362, 590
In the factoring method, we have to find the divisors of all numbers
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 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
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 (420, 400, 362, 590) = 2.
Given numbers are 420, 400, 362, 590
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 362 are 2 x 181
Prime factors of 590 are 2 x 5 x 59
The highest common occurrence is 21
Therefore, GCD of 420, 400, 362, 590 is 2.
Given numbers are 420, 400, 362, 590
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 400) = 8400
GCD(420, 400) = ( 420 x 400 ) / 8400
= 420 / 400
= 420
Step2:
LCM(20, 362) = 3620
GCD(20, 362) = ( 20 x 362 ) / 3620
= 20 / 362
= 20
Step3:
LCM(2, 590) = 590
GCD(2, 590) = ( 2 x 590 ) / 590
= 2 / 590
= 2
So, Greatest Common Divisor of 420, 400, 362, 590 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 400, 362, 590
The greatest common divisor of numbers 420, 400, 362, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 400, 362, 590 is 2.
1. What is the GCD of 420, 400, 362, 590?
GCD of given numbers 420, 400, 362, 590 is 2
2. How to calculate the greatest common divisor of 420, 400, 362, 590?
We can find the highest common divisor of 420, 400, 362, 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 420, 400, 362, 590 i.e 2.
3. How can I use the GCD of 420, 400, 362, 590Calculator?
Out the numbers 420, 400, 362, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.