GCD of 208, 688, 622, 960 Calculator

Given Input numbers are 208, 688, 622, 960

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 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 622 :

The positive integer divisors of 622 that completely divides 622 are.

1, 2, 311, 622

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (208, 688, 622, 960) = 2.

Given numbers are 208, 688, 622, 960

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 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 622 are 2 x 311

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 208, 688, 622, 960 is 2.

Given numbers are 208, 688, 622, 960

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

Apply this formula for all numbers.

Step1:

LCM(208, 688) = 8944

GCD(208, 688) = ( 208 x 688 ) / 8944

= 208 / 688

= 208

Step2:

LCM(16, 622) = 4976

GCD(16, 622) = ( 16 x 622 ) / 4976

= 16 / 622

= 16

Step3:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

So, Greatest Common Divisor of 208, 688, 622, 960 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 357, 726, 208, 185
• GCD of 100, 593, 426, 432
• GCD of 716, 566, 727, 276
• GCD of 100, 333, 352, 706
• GCD of 179, 282, 948, 532

Given numbers are 208, 688, 622, 960
The greatest common divisor of numbers 208, 688, 622, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 688, 622, 960 is 2.

1. What is the GCD of 208, 688, 622, 960?

GCD of given numbers 208, 688, 622, 960 is 2

2. How to calculate the greatest common divisor of 208, 688, 622, 960?

We can find the highest common divisor of 208, 688, 622, 960 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, 688, 622, 960 i.e 2.

3. How can I use the GCD of 208, 688, 622, 960Calculator?

Out the numbers 208, 688, 622, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.