Online GCD Calculator is useful to find the GCD of 326, 796, 462, 600 quickly. Get the easiest ways to solve the greatest common divisor of 326, 796, 462, 600 i.e 2 in different methods as follows.
Given Input numbers are 326, 796, 462, 600
In the factoring method, we have to find the divisors of all numbers
Divisors of 326 :
The positive integer divisors of 326 that completely divides 326 are.
1, 2, 163, 326
Divisors of 796 :
The positive integer divisors of 796 that completely divides 796 are.
1, 2, 4, 199, 398, 796
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
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 (326, 796, 462, 600) = 2.
Given numbers are 326, 796, 462, 600
The list of prime factors of all numbers are
Prime factors of 326 are 2 x 163
Prime factors of 796 are 2 x 2 x 199
Prime factors of 462 are 2 x 3 x 7 x 11
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 326, 796, 462, 600 is 2.
Given numbers are 326, 796, 462, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(326, 796) = 129748
GCD(326, 796) = ( 326 x 796 ) / 129748
= 326 / 796
= 326
Step2:
LCM(2, 462) = 462
GCD(2, 462) = ( 2 x 462 ) / 462
= 2 / 462
= 2
Step3:
LCM(2, 600) = 600
GCD(2, 600) = ( 2 x 600 ) / 600
= 2 / 600
= 2
So, Greatest Common Divisor of 326, 796, 462, 600 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 326, 796, 462, 600
The greatest common divisor of numbers 326, 796, 462, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 326, 796, 462, 600 is 2.
1. What is the GCD of 326, 796, 462, 600?
GCD of given numbers 326, 796, 462, 600 is 2
2. How to calculate the greatest common divisor of 326, 796, 462, 600?
We can find the highest common divisor of 326, 796, 462, 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 326, 796, 462, 600 i.e 2.
3. How can I use the GCD of 326, 796, 462, 600Calculator?
Out the numbers 326, 796, 462, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.