GCD of 565, 369, 318, 112 Calculator

Given Input numbers are 565, 369, 318, 112

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

Divisors of 565 :

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

1, 5, 113, 565

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (565, 369, 318, 112) = 1.

Given numbers are 565, 369, 318, 112

The list of prime factors of all numbers are

Prime factors of 565 are 5 x 113

Prime factors of 369 are 3 x 3 x 41

Prime factors of 318 are 2 x 3 x 53

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

Given numbers are 565, 369, 318, 112

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

Apply this formula for all numbers.

Step1:

LCM(565, 369) = 208485

GCD(565, 369) = ( 565 x 369 ) / 208485

= 565 / 369

= 565

Step2:

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

= 1 / 318

= 1

Step3:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

So, Greatest Common Divisor of 565, 369, 318, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 731, 199, 779
• GCD of 756, 608, 361, 362
• GCD of 241, 579, 271, 460
• GCD of 794, 195, 412, 838
• GCD of 574, 715, 620, 990

Given numbers are 565, 369, 318, 112
The greatest common divisor of numbers 565, 369, 318, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 565, 369, 318, 112 is 1.

1. What is the GCD of 565, 369, 318, 112?

GCD of given numbers 565, 369, 318, 112 is 1

2. How to calculate the greatest common divisor of 565, 369, 318, 112?

We can find the highest common divisor of 565, 369, 318, 112 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 565, 369, 318, 112 i.e 1.

3. How can I use the GCD of 565, 369, 318, 112Calculator?

Out the numbers 565, 369, 318, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.