GCD of 400, 293, 305, 288 Calculator

Given Input numbers are 400, 293, 305, 288

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

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

Divisors of 293 :

The positive integer divisors of 293 that completely divides 293 are.

1, 293

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

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 (400, 293, 305, 288) = 1.

Given numbers are 400, 293, 305, 288

The list of prime factors of all numbers are

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

Prime factors of 293 are 293

Prime factors of 305 are 5 x 61

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

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

Given numbers are 400, 293, 305, 288

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

Apply this formula for all numbers.

Step1:

LCM(400, 293) = 117200

GCD(400, 293) = ( 400 x 293 ) / 117200

= 400 / 293

= 400

Step2:

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

= 1 / 305

= 1

Step3:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

So, Greatest Common Divisor of 400, 293, 305, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 885, 569, 445, 400
• GCD of 603, 439, 393, 601
• GCD of 197, 456, 995, 369
• GCD of 828, 660, 259, 708
• GCD of 702, 932, 498, 230

Given numbers are 400, 293, 305, 288
The greatest common divisor of numbers 400, 293, 305, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 293, 305, 288 is 1.

1. What is the GCD of 400, 293, 305, 288?

GCD of given numbers 400, 293, 305, 288 is 1

2. How to calculate the greatest common divisor of 400, 293, 305, 288?

We can find the highest common divisor of 400, 293, 305, 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 400, 293, 305, 288 i.e 1.

3. How can I use the GCD of 400, 293, 305, 288Calculator?

Out the numbers 400, 293, 305, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.