GCD of 284, 655, 724, 400 Calculator

Given Input numbers are 284, 655, 724, 400

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

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

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 (284, 655, 724, 400) = 1.

Given numbers are 284, 655, 724, 400

The list of prime factors of all numbers are

Prime factors of 284 are 2 x 2 x 71

Prime factors of 655 are 5 x 131

Prime factors of 724 are 2 x 2 x 181

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 284, 655, 724, 400

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

Apply this formula for all numbers.

Step1:

LCM(284, 655) = 186020

GCD(284, 655) = ( 284 x 655 ) / 186020

= 284 / 655

= 284

Step2:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1

Step3:

LCM(1, 400) = 400

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

= 1 / 400

= 1

So, Greatest Common Divisor of 284, 655, 724, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 368, 419, 504
• GCD of 808, 576, 465, 580
• GCD of 910, 323, 382, 870
• GCD of 153, 125, 372, 934
• GCD of 741, 147, 922, 439

Given numbers are 284, 655, 724, 400
The greatest common divisor of numbers 284, 655, 724, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 655, 724, 400 is 1.

1. What is the GCD of 284, 655, 724, 400?

GCD of given numbers 284, 655, 724, 400 is 1

2. How to calculate the greatest common divisor of 284, 655, 724, 400?

We can find the highest common divisor of 284, 655, 724, 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 284, 655, 724, 400 i.e 1.

3. How can I use the GCD of 284, 655, 724, 400Calculator?

Out the numbers 284, 655, 724, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.