GCD of 326, 560, 564, 168 Calculator

Given Input numbers are 326, 560, 564, 168

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 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

GCD of numbers is the greatest common divisor

So, the GCD (326, 560, 564, 168) = 2.

Given numbers are 326, 560, 564, 168

The list of prime factors of all numbers are

Prime factors of 326 are 2 x 163

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 326, 560, 564, 168 is 2.

Given numbers are 326, 560, 564, 168

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(326, 560) = 91280

GCD(326, 560) = ( 326 x 560 ) / 91280

= 326 / 560

= 326

Step2:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

Step3:

LCM(2, 168) = 168

GCD(2, 168) = ( 2 x 168 ) / 168

= 2 / 168

= 2

So, Greatest Common Divisor of 326, 560, 564, 168 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 674, 205, 942
• GCD of 195, 771, 507, 625
• GCD of 361, 321, 331, 378
• GCD of 379, 709, 756, 792
• GCD of 419, 529, 513, 183

Given numbers are 326, 560, 564, 168
The greatest common divisor of numbers 326, 560, 564, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 326, 560, 564, 168 is 2.

1. What is the GCD of 326, 560, 564, 168?

GCD of given numbers 326, 560, 564, 168 is 2

2. How to calculate the greatest common divisor of 326, 560, 564, 168?

We can find the highest common divisor of 326, 560, 564, 168 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, 560, 564, 168 i.e 2.

3. How can I use the GCD of 326, 560, 564, 168Calculator?

Out the numbers 326, 560, 564, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.