GCD of 238, 928, 360, 192 Calculator

Given Input numbers are 238, 928, 360, 192

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

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 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 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

GCD of numbers is the greatest common divisor

So, the GCD (238, 928, 360, 192) = 2.

Given numbers are 238, 928, 360, 192

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

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

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

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 238, 928, 360, 192 is 2.

Given numbers are 238, 928, 360, 192

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

Apply this formula for all numbers.

Step1:

LCM(238, 928) = 110432

GCD(238, 928) = ( 238 x 928 ) / 110432

= 238 / 928

= 238

Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

Step3:

LCM(2, 192) = 192

GCD(2, 192) = ( 2 x 192 ) / 192

= 2 / 192

= 2

So, Greatest Common Divisor of 238, 928, 360, 192 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 920, 236, 779
• GCD of 203, 980, 903, 202
• GCD of 755, 971, 285, 461
• GCD of 727, 183, 444, 983
• GCD of 251, 904, 290, 890

Given numbers are 238, 928, 360, 192
The greatest common divisor of numbers 238, 928, 360, 192 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 928, 360, 192 is 2.

1. What is the GCD of 238, 928, 360, 192?

GCD of given numbers 238, 928, 360, 192 is 2

2. How to calculate the greatest common divisor of 238, 928, 360, 192?

We can find the highest common divisor of 238, 928, 360, 192 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 238, 928, 360, 192 i.e 2.

3. How can I use the GCD of 238, 928, 360, 192Calculator?

Out the numbers 238, 928, 360, 192 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.