Online GCD Calculator is useful to find the GCD of 326, 564, 320, 152 quickly. Get the easiest ways to solve the greatest common divisor of 326, 564, 320, 152 i.e 2 in different methods as follows.
Given Input numbers are 326, 564, 320, 152
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 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
GCD of numbers is the greatest common divisor
So, the GCD (326, 564, 320, 152) = 2.
Given numbers are 326, 564, 320, 152
The list of prime factors of all numbers are
Prime factors of 326 are 2 x 163
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 152 are 2 x 2 x 2 x 19
The highest common occurrence is 21
Therefore, GCD of 326, 564, 320, 152 is 2.
Given numbers are 326, 564, 320, 152
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(326, 564) = 91932
GCD(326, 564) = ( 326 x 564 ) / 91932
= 326 / 564
= 326
Step2:
LCM(2, 320) = 320
GCD(2, 320) = ( 2 x 320 ) / 320
= 2 / 320
= 2
Step3:
LCM(2, 152) = 152
GCD(2, 152) = ( 2 x 152 ) / 152
= 2 / 152
= 2
So, Greatest Common Divisor of 326, 564, 320, 152 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 326, 564, 320, 152
The greatest common divisor of numbers 326, 564, 320, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 326, 564, 320, 152 is 2.
1. What is the GCD of 326, 564, 320, 152?
GCD of given numbers 326, 564, 320, 152 is 2
2. How to calculate the greatest common divisor of 326, 564, 320, 152?
We can find the highest common divisor of 326, 564, 320, 152 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, 564, 320, 152 i.e 2.
3. How can I use the GCD of 326, 564, 320, 152Calculator?
Out the numbers 326, 564, 320, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.