GCD of 328, 288, 772, 270 Calculator

Given Input numbers are 328, 288, 772, 270

In the factoring method, we have to find the divisors of all numbers

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (328, 288, 772, 270) = 2.

Given numbers are 328, 288, 772, 270

The list of prime factors of all numbers are

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 772 are 2 x 2 x 193

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 328, 288, 772, 270 is 2.

Given numbers are 328, 288, 772, 270

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

Apply this formula for all numbers.

Step1:

LCM(328, 288) = 11808

GCD(328, 288) = ( 328 x 288 ) / 11808

= 328 / 288

= 328

Step2:

LCM(8, 772) = 1544

GCD(8, 772) = ( 8 x 772 ) / 1544

= 8 / 772

= 8

Step3:

LCM(4, 270) = 540

GCD(4, 270) = ( 4 x 270 ) / 540

= 4 / 270

= 4

So, Greatest Common Divisor of 328, 288, 772, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 694, 328, 576
• GCD of 647, 429, 719, 591
• GCD of 792, 332, 734, 798
• GCD of 110, 688, 830, 621
• GCD of 763, 259, 455, 529

Given numbers are 328, 288, 772, 270
The greatest common divisor of numbers 328, 288, 772, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 288, 772, 270 is 2.

1. What is the GCD of 328, 288, 772, 270?

GCD of given numbers 328, 288, 772, 270 is 2

2. How to calculate the greatest common divisor of 328, 288, 772, 270?

We can find the highest common divisor of 328, 288, 772, 270 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 328, 288, 772, 270 i.e 2.

3. How can I use the GCD of 328, 288, 772, 270Calculator?

Out the numbers 328, 288, 772, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.