GCD of 564, 738, 226, 224 Calculator

Given Input numbers are 564, 738, 226, 224

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

GCD of numbers is the greatest common divisor

So, the GCD (564, 738, 226, 224) = 2.

Given numbers are 564, 738, 226, 224

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 226 are 2 x 113

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 564, 738, 226, 224 is 2.

Given numbers are 564, 738, 226, 224

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

Apply this formula for all numbers.

Step1:

LCM(564, 738) = 69372

GCD(564, 738) = ( 564 x 738 ) / 69372

= 564 / 738

= 564

Step2:

LCM(6, 226) = 678

GCD(6, 226) = ( 6 x 226 ) / 678

= 6 / 226

= 6

Step3:

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

= 2 / 224

= 2

So, Greatest Common Divisor of 564, 738, 226, 224 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 388, 535, 450, 283
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• GCD of 887, 448, 699, 832
• GCD of 374, 890, 378, 497
• GCD of 627, 664, 569, 595

Given numbers are 564, 738, 226, 224
The greatest common divisor of numbers 564, 738, 226, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 738, 226, 224 is 2.

1. What is the GCD of 564, 738, 226, 224?

GCD of given numbers 564, 738, 226, 224 is 2

2. How to calculate the greatest common divisor of 564, 738, 226, 224?

We can find the highest common divisor of 564, 738, 226, 224 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 564, 738, 226, 224 i.e 2.

3. How can I use the GCD of 564, 738, 226, 224Calculator?

Out the numbers 564, 738, 226, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.