GCD of 289, 972, 400, 565 Calculator

Given Input numbers are 289, 972, 400, 565

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

GCD of numbers is the greatest common divisor

So, the GCD (289, 972, 400, 565) = 1.

Given numbers are 289, 972, 400, 565

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Prime factors of 565 are 5 x 113

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

Given numbers are 289, 972, 400, 565

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

Apply this formula for all numbers.

Step1:

LCM(289, 972) = 280908

GCD(289, 972) = ( 289 x 972 ) / 280908

= 289 / 972

= 289

Step2:

LCM(1, 400) = 400

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

= 1 / 400

= 1

Step3:

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

= 1 / 565

= 1

So, Greatest Common Divisor of 289, 972, 400, 565 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 343, 232, 283
• GCD of 189, 474, 100, 220
• GCD of 398, 243, 216, 441
• GCD of 462, 338, 608, 368
• GCD of 423, 466, 369, 915

Given numbers are 289, 972, 400, 565
The greatest common divisor of numbers 289, 972, 400, 565 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 972, 400, 565 is 1.

1. What is the GCD of 289, 972, 400, 565?

GCD of given numbers 289, 972, 400, 565 is 1

2. How to calculate the greatest common divisor of 289, 972, 400, 565?

We can find the highest common divisor of 289, 972, 400, 565 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 289, 972, 400, 565 i.e 1.

3. How can I use the GCD of 289, 972, 400, 565Calculator?

Out the numbers 289, 972, 400, 565 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.