GCD of 208, 110, 966, 552 Calculator

Given Input numbers are 208, 110, 966, 552

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

GCD of numbers is the greatest common divisor

So, the GCD (208, 110, 966, 552) = 2.

Given numbers are 208, 110, 966, 552

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 110 are 2 x 5 x 11

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 208, 110, 966, 552 is 2.

Given numbers are 208, 110, 966, 552

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

Apply this formula for all numbers.

Step1:

LCM(208, 110) = 11440

GCD(208, 110) = ( 208 x 110 ) / 11440

= 208 / 110

= 208

Step2:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2

Step3:

LCM(2, 552) = 552

GCD(2, 552) = ( 2 x 552 ) / 552

= 2 / 552

= 2

So, Greatest Common Divisor of 208, 110, 966, 552 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 566, 385, 450
• GCD of 172, 240, 211, 154
• GCD of 219, 599, 513, 507
• GCD of 900, 306, 488, 599
• GCD of 898, 168, 470, 839

Given numbers are 208, 110, 966, 552
The greatest common divisor of numbers 208, 110, 966, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 110, 966, 552 is 2.

1. What is the GCD of 208, 110, 966, 552?

GCD of given numbers 208, 110, 966, 552 is 2

2. How to calculate the greatest common divisor of 208, 110, 966, 552?

We can find the highest common divisor of 208, 110, 966, 552 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 208, 110, 966, 552 i.e 2.

3. How can I use the GCD of 208, 110, 966, 552Calculator?

Out the numbers 208, 110, 966, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.