GCD of 280, 188, 288 Calculator

Given Input numbers are 280, 188, 288

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 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (280, 188, 288) = 4.

Given numbers are 280, 188, 288

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 188 are 2 x 2 x 47

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2²

Therefore, GCD of 280, 188, 288 is 4.

Given numbers are 280, 188, 288

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

Apply this formula for all numbers.

Step1:

LCM(280, 188) = 13160

GCD(280, 188) = ( 280 x 188 ) / 13160

= 280 / 188

= 280

Step2:

LCM(4, 288) = 288

GCD(4, 288) = ( 4 x 288 ) / 288

= 4 / 288

= 4

So, Greatest Common Divisor of 280, 188, 288 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 117, 982
• GCD of 506, 895, 493
• GCD of 557, 558, 870
• GCD of 367, 585, 593
• GCD of 949, 309, 176

Given numbers are 280, 188, 288
The greatest common divisor of numbers 280, 188, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 188, 288 is 4.

1. What is the GCD of 280, 188, 288?

GCD of given numbers 280, 188, 288 is 4

2. How to calculate the greatest common divisor of 280, 188, 288?

We can find the highest common divisor of 280, 188, 288 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, 188, 288 i.e 4.

3. How can I use the GCD of 280, 188, 288Calculator?

Out the numbers 280, 188, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.