Online GCD Calculator is useful to find the GCD of 402, 628, 900, 582 quickly. Get the easiest ways to solve the greatest common divisor of 402, 628, 900, 582 i.e 2 in different methods as follows.
Given Input numbers are 402, 628, 900, 582
In the factoring method, we have to find the divisors of all numbers
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 582 :
The positive integer divisors of 582 that completely divides 582 are.
1, 2, 3, 6, 97, 194, 291, 582
GCD of numbers is the greatest common divisor
So, the GCD (402, 628, 900, 582) = 2.
Given numbers are 402, 628, 900, 582
The list of prime factors of all numbers are
Prime factors of 402 are 2 x 3 x 67
Prime factors of 628 are 2 x 2 x 157
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 582 are 2 x 3 x 97
The highest common occurrence is 21
Therefore, GCD of 402, 628, 900, 582 is 2.
Given numbers are 402, 628, 900, 582
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(402, 628) = 126228
GCD(402, 628) = ( 402 x 628 ) / 126228
= 402 / 628
= 402
Step2:
LCM(2, 900) = 900
GCD(2, 900) = ( 2 x 900 ) / 900
= 2 / 900
= 2
Step3:
LCM(2, 582) = 582
GCD(2, 582) = ( 2 x 582 ) / 582
= 2 / 582
= 2
So, Greatest Common Divisor of 402, 628, 900, 582 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 402, 628, 900, 582
The greatest common divisor of numbers 402, 628, 900, 582 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 628, 900, 582 is 2.
1. What is the GCD of 402, 628, 900, 582?
GCD of given numbers 402, 628, 900, 582 is 2
2. How to calculate the greatest common divisor of 402, 628, 900, 582?
We can find the highest common divisor of 402, 628, 900, 582 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 402, 628, 900, 582 i.e 2.
3. How can I use the GCD of 402, 628, 900, 582Calculator?
Out the numbers 402, 628, 900, 582 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.