GCD of 268, 216, 574, 564 Calculator

Given Input numbers are 268, 216, 574, 564

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

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

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

GCD of numbers is the greatest common divisor

So, the GCD (268, 216, 574, 564) = 2.

Given numbers are 268, 216, 574, 564

The list of prime factors of all numbers are

Prime factors of 268 are 2 x 2 x 67

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 574 are 2 x 7 x 41

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

The highest common occurrence is 2¹

Therefore, GCD of 268, 216, 574, 564 is 2.

Given numbers are 268, 216, 574, 564

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

Apply this formula for all numbers.

Step1:

LCM(268, 216) = 14472

GCD(268, 216) = ( 268 x 216 ) / 14472

= 268 / 216

= 268

Step2:

LCM(4, 574) = 1148

GCD(4, 574) = ( 4 x 574 ) / 1148

= 4 / 574

= 4

Step3:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

So, Greatest Common Divisor of 268, 216, 574, 564 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 784, 223, 663
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Given numbers are 268, 216, 574, 564
The greatest common divisor of numbers 268, 216, 574, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 216, 574, 564 is 2.

1. What is the GCD of 268, 216, 574, 564?

GCD of given numbers 268, 216, 574, 564 is 2

2. How to calculate the greatest common divisor of 268, 216, 574, 564?

We can find the highest common divisor of 268, 216, 574, 564 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 268, 216, 574, 564 i.e 2.

3. How can I use the GCD of 268, 216, 574, 564Calculator?

Out the numbers 268, 216, 574, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.