GCD of 280, 110, 360, 384 Calculator

Given Input numbers are 280, 110, 360, 384

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

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

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 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (280, 110, 360, 384) = 2.

Given numbers are 280, 110, 360, 384

The list of prime factors of all numbers are

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 110 are 2 x 5 x 11

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

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 280, 110, 360, 384 is 2.

Given numbers are 280, 110, 360, 384

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

Apply this formula for all numbers.

Step1:

LCM(280, 110) = 3080

GCD(280, 110) = ( 280 x 110 ) / 3080

= 280 / 110

= 280

Step2:

LCM(10, 360) = 360

GCD(10, 360) = ( 10 x 360 ) / 360

= 10 / 360

= 10

Step3:

LCM(10, 384) = 1920

GCD(10, 384) = ( 10 x 384 ) / 1920

= 10 / 384

= 10

So, Greatest Common Divisor of 280, 110, 360, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 470, 799, 444, 712
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Given numbers are 280, 110, 360, 384
The greatest common divisor of numbers 280, 110, 360, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 110, 360, 384 is 2.

1. What is the GCD of 280, 110, 360, 384?

GCD of given numbers 280, 110, 360, 384 is 2

2. How to calculate the greatest common divisor of 280, 110, 360, 384?

We can find the highest common divisor of 280, 110, 360, 384 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 280, 110, 360, 384 i.e 2.

3. How can I use the GCD of 280, 110, 360, 384Calculator?

Out the numbers 280, 110, 360, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.