GCD of 566, 748, 24, 422 Calculator

Given Input numbers are 566, 748, 24, 422

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

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

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 (566, 748, 24, 422) = 2.

Given numbers are 566, 748, 24, 422

The list of prime factors of all numbers are

Prime factors of 566 are 2 x 283

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 422 are 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 566, 748, 24, 422 is 2.

Given numbers are 566, 748, 24, 422

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

Apply this formula for all numbers.

Step1:

LCM(566, 748) = 211684

GCD(566, 748) = ( 566 x 748 ) / 211684

= 566 / 748

= 566

Step2:

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

= 2 / 24

= 2

Step3:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

So, Greatest Common Divisor of 566, 748, 24, 422 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 407, 53, 726
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• GCD of 202, 437, 61, 400
• GCD of 113, 829, 24, 457
• GCD of 931, 314, 65, 144

Given numbers are 566, 748, 24, 422
The greatest common divisor of numbers 566, 748, 24, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 566, 748, 24, 422 is 2.

1. What is the GCD of 566, 748, 24, 422?

GCD of given numbers 566, 748, 24, 422 is 2

2. How to calculate the greatest common divisor of 566, 748, 24, 422?

We can find the highest common divisor of 566, 748, 24, 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 566, 748, 24, 422 i.e 2.

3. How can I use the GCD of 566, 748, 24, 422Calculator?

Out the numbers 566, 748, 24, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.