GCD of 920, 320, 928, 282 Calculator

Given Input numbers are 920, 320, 928, 282

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

GCD of numbers is the greatest common divisor

So, the GCD (920, 320, 928, 282) = 2.

Given numbers are 920, 320, 928, 282

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Prime factors of 282 are 2 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 920, 320, 928, 282 is 2.

Given numbers are 920, 320, 928, 282

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

Apply this formula for all numbers.

Step1:

LCM(920, 320) = 7360

GCD(920, 320) = ( 920 x 320 ) / 7360

= 920 / 320

= 920

Step2:

LCM(40, 928) = 4640

GCD(40, 928) = ( 40 x 928 ) / 4640

= 40 / 928

= 40

Step3:

LCM(8, 282) = 1128

GCD(8, 282) = ( 8 x 282 ) / 1128

= 8 / 282

= 8

So, Greatest Common Divisor of 920, 320, 928, 282 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 371, 874, 265
• GCD of 888, 131, 220, 226
• GCD of 129, 690, 486, 468
• GCD of 335, 784, 365, 614
• GCD of 970, 345, 174, 438

Given numbers are 920, 320, 928, 282
The greatest common divisor of numbers 920, 320, 928, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 320, 928, 282 is 2.

1. What is the GCD of 920, 320, 928, 282?

GCD of given numbers 920, 320, 928, 282 is 2

2. How to calculate the greatest common divisor of 920, 320, 928, 282?

We can find the highest common divisor of 920, 320, 928, 282 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 920, 320, 928, 282 i.e 2.

3. How can I use the GCD of 920, 320, 928, 282Calculator?

Out the numbers 920, 320, 928, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.