GCD of 928, 316, 924, 638 Calculator

Given Input numbers are 928, 316, 924, 638

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 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

GCD of numbers is the greatest common divisor

So, the GCD (928, 316, 924, 638) = 2.

Given numbers are 928, 316, 924, 638

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 316 are 2 x 2 x 79

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 638 are 2 x 11 x 29

The highest common occurrence is 2¹

Therefore, GCD of 928, 316, 924, 638 is 2.

Given numbers are 928, 316, 924, 638

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

Apply this formula for all numbers.

Step1:

LCM(928, 316) = 73312

GCD(928, 316) = ( 928 x 316 ) / 73312

= 928 / 316

= 928

Step2:

LCM(4, 924) = 924

GCD(4, 924) = ( 4 x 924 ) / 924

= 4 / 924

= 4

Step3:

LCM(4, 638) = 1276

GCD(4, 638) = ( 4 x 638 ) / 1276

= 4 / 638

= 4

So, Greatest Common Divisor of 928, 316, 924, 638 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 778, 985, 643
• GCD of 634, 903, 227, 749
• GCD of 700, 428, 354, 192
• GCD of 676, 248, 126, 860
• GCD of 755, 847, 348, 947

Given numbers are 928, 316, 924, 638
The greatest common divisor of numbers 928, 316, 924, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 928, 316, 924, 638 is 2.

1. What is the GCD of 928, 316, 924, 638?

GCD of given numbers 928, 316, 924, 638 is 2

2. How to calculate the greatest common divisor of 928, 316, 924, 638?

We can find the highest common divisor of 928, 316, 924, 638 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, 316, 924, 638 i.e 2.

3. How can I use the GCD of 928, 316, 924, 638Calculator?

Out the numbers 928, 316, 924, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.