GCD of 326, 360, 580, 352 Calculator

Given Input numbers are 326, 360, 580, 352

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

GCD of numbers is the greatest common divisor

So, the GCD (326, 360, 580, 352) = 2.

Given numbers are 326, 360, 580, 352

The list of prime factors of all numbers are

Prime factors of 326 are 2 x 163

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 326, 360, 580, 352 is 2.

Given numbers are 326, 360, 580, 352

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

Apply this formula for all numbers.

Step1:

LCM(326, 360) = 58680

GCD(326, 360) = ( 326 x 360 ) / 58680

= 326 / 360

= 326

Step2:

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

= 2 / 580

= 2

Step3:

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

= 2 / 352

= 2

So, Greatest Common Divisor of 326, 360, 580, 352 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 783, 922, 294
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• GCD of 302, 846, 961, 461
• GCD of 428, 360, 506, 126
• GCD of 279, 863, 250, 220

Given numbers are 326, 360, 580, 352
The greatest common divisor of numbers 326, 360, 580, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 326, 360, 580, 352 is 2.

1. What is the GCD of 326, 360, 580, 352?

GCD of given numbers 326, 360, 580, 352 is 2

2. How to calculate the greatest common divisor of 326, 360, 580, 352?

We can find the highest common divisor of 326, 360, 580, 352 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, 360, 580, 352 i.e 2.

3. How can I use the GCD of 326, 360, 580, 352Calculator?

Out the numbers 326, 360, 580, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.