GCD of 565, 270, 296, 422 Calculator

Given Input numbers are 565, 270, 296, 422

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 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (565, 270, 296, 422) = 1.

Given numbers are 565, 270, 296, 422

The list of prime factors of all numbers are

Prime factors of 565 are 5 x 113

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 422 are 2 x 211

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

Given numbers are 565, 270, 296, 422

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

Apply this formula for all numbers.

Step1:

LCM(565, 270) = 30510

GCD(565, 270) = ( 565 x 270 ) / 30510

= 565 / 270

= 565

Step2:

LCM(5, 296) = 1480

GCD(5, 296) = ( 5 x 296 ) / 1480

= 5 / 296

= 5

Step3:

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

= 1 / 422

= 1

So, Greatest Common Divisor of 565, 270, 296, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 940, 511, 868, 784
• GCD of 324, 237, 421, 371
• GCD of 259, 242, 112, 368
• GCD of 897, 515, 955, 744
• GCD of 549, 673, 406, 912

Given numbers are 565, 270, 296, 422
The greatest common divisor of numbers 565, 270, 296, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 565, 270, 296, 422 is 1.

1. What is the GCD of 565, 270, 296, 422?

GCD of given numbers 565, 270, 296, 422 is 1

2. How to calculate the greatest common divisor of 565, 270, 296, 422?

We can find the highest common divisor of 565, 270, 296, 422 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, 270, 296, 422 i.e 1.

3. How can I use the GCD of 565, 270, 296, 422Calculator?

Out the numbers 565, 270, 296, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.