GCD of 288, 764, 281, 400 Calculator

Given Input numbers are 288, 764, 281, 400

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

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

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 281 :

The positive integer divisors of 281 that completely divides 281 are.

1, 281

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (288, 764, 281, 400) = 1.

Given numbers are 288, 764, 281, 400

The list of prime factors of all numbers are

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

Prime factors of 764 are 2 x 2 x 191

Prime factors of 281 are 281

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 288, 764, 281, 400

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

Apply this formula for all numbers.

Step1:

LCM(288, 764) = 55008

GCD(288, 764) = ( 288 x 764 ) / 55008

= 288 / 764

= 288

Step2:

LCM(4, 281) = 1124

GCD(4, 281) = ( 4 x 281 ) / 1124

= 4 / 281

= 4

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 288, 764, 281, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 250, 818, 262
• GCD of 649, 768, 594, 463
• GCD of 521, 851, 654, 114
• GCD of 182, 537, 360, 633
• GCD of 596, 370, 412, 682

Given numbers are 288, 764, 281, 400
The greatest common divisor of numbers 288, 764, 281, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 764, 281, 400 is 1.

1. What is the GCD of 288, 764, 281, 400?

GCD of given numbers 288, 764, 281, 400 is 1

2. How to calculate the greatest common divisor of 288, 764, 281, 400?

We can find the highest common divisor of 288, 764, 281, 400 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 288, 764, 281, 400 i.e 1.

3. How can I use the GCD of 288, 764, 281, 400Calculator?

Out the numbers 288, 764, 281, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.