Online GCD Calculator is useful to find the GCD of 536, 452, 446, 402 quickly. Get the easiest ways to solve the greatest common divisor of 536, 452, 446, 402 i.e 2 in different methods as follows.
Given Input numbers are 536, 452, 446, 402
In the factoring method, we have to find the divisors of all numbers
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 446 :
The positive integer divisors of 446 that completely divides 446 are.
1, 2, 223, 446
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
GCD of numbers is the greatest common divisor
So, the GCD (536, 452, 446, 402) = 2.
Given numbers are 536, 452, 446, 402
The list of prime factors of all numbers are
Prime factors of 536 are 2 x 2 x 2 x 67
Prime factors of 452 are 2 x 2 x 113
Prime factors of 446 are 2 x 223
Prime factors of 402 are 2 x 3 x 67
The highest common occurrence is 21
Therefore, GCD of 536, 452, 446, 402 is 2.
Given numbers are 536, 452, 446, 402
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(536, 452) = 60568
GCD(536, 452) = ( 536 x 452 ) / 60568
= 536 / 452
= 536
Step2:
LCM(4, 446) = 892
GCD(4, 446) = ( 4 x 446 ) / 892
= 4 / 446
= 4
Step3:
LCM(2, 402) = 402
GCD(2, 402) = ( 2 x 402 ) / 402
= 2 / 402
= 2
So, Greatest Common Divisor of 536, 452, 446, 402 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 536, 452, 446, 402
The greatest common divisor of numbers 536, 452, 446, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 452, 446, 402 is 2.
1. What is the GCD of 536, 452, 446, 402?
GCD of given numbers 536, 452, 446, 402 is 2
2. How to calculate the greatest common divisor of 536, 452, 446, 402?
We can find the highest common divisor of 536, 452, 446, 402 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 536, 452, 446, 402 i.e 2.
3. How can I use the GCD of 536, 452, 446, 402Calculator?
Out the numbers 536, 452, 446, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.