GCD of 928, 784, 468, 964 Calculator

Given Input numbers are 928, 784, 468, 964

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

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

GCD of numbers is the greatest common divisor

So, the GCD (928, 784, 468, 964) = 4.

Given numbers are 928, 784, 468, 964

The list of prime factors of all numbers are

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 964 are 2 x 2 x 241

The highest common occurrence is 2²

Therefore, GCD of 928, 784, 468, 964 is 4.

Given numbers are 928, 784, 468, 964

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

Apply this formula for all numbers.

Step1:

LCM(928, 784) = 45472

GCD(928, 784) = ( 928 x 784 ) / 45472

= 928 / 784

= 928

Step2:

LCM(16, 468) = 1872

GCD(16, 468) = ( 16 x 468 ) / 1872

= 16 / 468

= 16

Step3:

LCM(4, 964) = 964

GCD(4, 964) = ( 4 x 964 ) / 964

= 4 / 964

= 4

So, Greatest Common Divisor of 928, 784, 468, 964 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 488, 657, 940
• GCD of 363, 796, 377, 180
• GCD of 403, 619, 267, 675
• GCD of 344, 250, 622, 835
• GCD of 667, 331, 820, 880

Given numbers are 928, 784, 468, 964
The greatest common divisor of numbers 928, 784, 468, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 928, 784, 468, 964 is 4.

1. What is the GCD of 928, 784, 468, 964?

GCD of given numbers 928, 784, 468, 964 is 4

2. How to calculate the greatest common divisor of 928, 784, 468, 964?

We can find the highest common divisor of 928, 784, 468, 964 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 928, 784, 468, 964 i.e 4.

3. How can I use the GCD of 928, 784, 468, 964Calculator?

Out the numbers 928, 784, 468, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.