GCD of 564, 908, 824, 266 Calculator

Given Input numbers are 564, 908, 824, 266

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 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

GCD of numbers is the greatest common divisor

So, the GCD (564, 908, 824, 266) = 2.

Given numbers are 564, 908, 824, 266

The list of prime factors of all numbers are

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

Prime factors of 908 are 2 x 2 x 227

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 266 are 2 x 7 x 19

The highest common occurrence is 2¹

Therefore, GCD of 564, 908, 824, 266 is 2.

Given numbers are 564, 908, 824, 266

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

Apply this formula for all numbers.

Step1:

LCM(564, 908) = 128028

GCD(564, 908) = ( 564 x 908 ) / 128028

= 564 / 908

= 564

Step2:

LCM(4, 824) = 824

GCD(4, 824) = ( 4 x 824 ) / 824

= 4 / 824

= 4

Step3:

LCM(4, 266) = 532

GCD(4, 266) = ( 4 x 266 ) / 532

= 4 / 266

= 4

So, Greatest Common Divisor of 564, 908, 824, 266 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 574, 350, 898
• GCD of 939, 943, 841, 868
• GCD of 599, 457, 601, 360
• GCD of 242, 885, 365, 871
• GCD of 306, 113, 995, 118

Given numbers are 564, 908, 824, 266
The greatest common divisor of numbers 564, 908, 824, 266 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 908, 824, 266 is 2.

1. What is the GCD of 564, 908, 824, 266?

GCD of given numbers 564, 908, 824, 266 is 2

2. How to calculate the greatest common divisor of 564, 908, 824, 266?

We can find the highest common divisor of 564, 908, 824, 266 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, 908, 824, 266 i.e 2.

3. How can I use the GCD of 564, 908, 824, 266Calculator?

Out the numbers 564, 908, 824, 266 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.