GCD of 566, 108, 338, 134 Calculator

Given Input numbers are 566, 108, 338, 134

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 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

GCD of numbers is the greatest common divisor

So, the GCD (566, 108, 338, 134) = 2.

Given numbers are 566, 108, 338, 134

The list of prime factors of all numbers are

Prime factors of 566 are 2 x 283

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 338 are 2 x 13 x 13

Prime factors of 134 are 2 x 67

The highest common occurrence is 2¹

Therefore, GCD of 566, 108, 338, 134 is 2.

Given numbers are 566, 108, 338, 134

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

Apply this formula for all numbers.

Step1:

LCM(566, 108) = 30564

GCD(566, 108) = ( 566 x 108 ) / 30564

= 566 / 108

= 566

Step2:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

Step3:

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

= 2 / 134

= 2

So, Greatest Common Divisor of 566, 108, 338, 134 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 100, 446, 545
• GCD of 652, 861, 469, 848
• GCD of 640, 271, 326, 540
• GCD of 741, 258, 479, 283
• GCD of 549, 565, 248, 237

Given numbers are 566, 108, 338, 134
The greatest common divisor of numbers 566, 108, 338, 134 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 566, 108, 338, 134 is 2.

1. What is the GCD of 566, 108, 338, 134?

GCD of given numbers 566, 108, 338, 134 is 2

2. How to calculate the greatest common divisor of 566, 108, 338, 134?

We can find the highest common divisor of 566, 108, 338, 134 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, 108, 338, 134 i.e 2.

3. How can I use the GCD of 566, 108, 338, 134Calculator?

Out the numbers 566, 108, 338, 134 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.