GCD of 208, 489, 738, 442 Calculator

Given Input numbers are 208, 489, 738, 442

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 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (208, 489, 738, 442) = 1.

Given numbers are 208, 489, 738, 442

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 489 are 3 x 163

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 442 are 2 x 13 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 208, 489, 738, 442

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

Apply this formula for all numbers.

Step1:

LCM(208, 489) = 101712

GCD(208, 489) = ( 208 x 489 ) / 101712

= 208 / 489

= 208

Step2:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1

Step3:

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

= 1 / 442

= 1

So, Greatest Common Divisor of 208, 489, 738, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 192, 985, 888, 608
• GCD of 325, 960, 171, 771
• GCD of 151, 853, 694, 359
• GCD of 839, 782, 391, 566
• GCD of 566, 457, 983, 471

Given numbers are 208, 489, 738, 442
The greatest common divisor of numbers 208, 489, 738, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 489, 738, 442 is 1.

1. What is the GCD of 208, 489, 738, 442?

GCD of given numbers 208, 489, 738, 442 is 1

2. How to calculate the greatest common divisor of 208, 489, 738, 442?

We can find the highest common divisor of 208, 489, 738, 442 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, 489, 738, 442 i.e 1.

3. How can I use the GCD of 208, 489, 738, 442Calculator?

Out the numbers 208, 489, 738, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.