Online GCD Calculator is useful to find the GCD of 426, 256, 592, 600 quickly. Get the easiest ways to solve the greatest common divisor of 426, 256, 592, 600 i.e 2 in different methods as follows.
Given Input numbers are 426, 256, 592, 600
In the factoring method, we have to find the divisors of all numbers
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 256 :
The positive integer divisors of 256 that completely divides 256 are.
1, 2, 4, 8, 16, 32, 64, 128, 256
Divisors of 592 :
The positive integer divisors of 592 that completely divides 592 are.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
GCD of numbers is the greatest common divisor
So, the GCD (426, 256, 592, 600) = 2.
Given numbers are 426, 256, 592, 600
The list of prime factors of all numbers are
Prime factors of 426 are 2 x 3 x 71
Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 592 are 2 x 2 x 2 x 2 x 37
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 426, 256, 592, 600 is 2.
Given numbers are 426, 256, 592, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(426, 256) = 54528
GCD(426, 256) = ( 426 x 256 ) / 54528
= 426 / 256
= 426
Step2:
LCM(2, 592) = 592
GCD(2, 592) = ( 2 x 592 ) / 592
= 2 / 592
= 2
Step3:
LCM(2, 600) = 600
GCD(2, 600) = ( 2 x 600 ) / 600
= 2 / 600
= 2
So, Greatest Common Divisor of 426, 256, 592, 600 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 426, 256, 592, 600
The greatest common divisor of numbers 426, 256, 592, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 256, 592, 600 is 2.
1. What is the GCD of 426, 256, 592, 600?
GCD of given numbers 426, 256, 592, 600 is 2
2. How to calculate the greatest common divisor of 426, 256, 592, 600?
We can find the highest common divisor of 426, 256, 592, 600 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 426, 256, 592, 600 i.e 2.
3. How can I use the GCD of 426, 256, 592, 600Calculator?
Out the numbers 426, 256, 592, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.