GCD of 108, 208, 602, 788 Calculator

Given Input numbers are 108, 208, 602, 788

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

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 208 :

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

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

Divisors of 602 :

The positive integer divisors of 602 that completely divides 602 are.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

GCD of numbers is the greatest common divisor

So, the GCD (108, 208, 602, 788) = 2.

Given numbers are 108, 208, 602, 788

The list of prime factors of all numbers are

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

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

Prime factors of 602 are 2 x 7 x 43

Prime factors of 788 are 2 x 2 x 197

The highest common occurrence is 2¹

Therefore, GCD of 108, 208, 602, 788 is 2.

Given numbers are 108, 208, 602, 788

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

Apply this formula for all numbers.

Step1:

LCM(108, 208) = 5616

GCD(108, 208) = ( 108 x 208 ) / 5616

= 108 / 208

= 108

Step2:

LCM(4, 602) = 1204

GCD(4, 602) = ( 4 x 602 ) / 1204

= 4 / 602

= 4

Step3:

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

= 2 / 788

= 2

So, Greatest Common Divisor of 108, 208, 602, 788 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 564, 233, 224
• GCD of 871, 161, 386, 121
• GCD of 220, 310, 644, 447
• GCD of 909, 434, 946, 327
• GCD of 323, 919, 111, 739

Given numbers are 108, 208, 602, 788
The greatest common divisor of numbers 108, 208, 602, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 208, 602, 788 is 2.

1. What is the GCD of 108, 208, 602, 788?

GCD of given numbers 108, 208, 602, 788 is 2

2. How to calculate the greatest common divisor of 108, 208, 602, 788?

We can find the highest common divisor of 108, 208, 602, 788 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 108, 208, 602, 788 i.e 2.

3. How can I use the GCD of 108, 208, 602, 788Calculator?

Out the numbers 108, 208, 602, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.