GCD of 338, 605, 30, 600 Calculator

Given Input numbers are 338, 605, 30, 600

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

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 605 :

The positive integer divisors of 605 that completely divides 605 are.

1, 5, 11, 55, 121, 605

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (338, 605, 30, 600) = 1.

Given numbers are 338, 605, 30, 600

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 605 are 5 x 11 x 11

Prime factors of 30 are 2 x 3 x 5

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Given numbers are 338, 605, 30, 600

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

Apply this formula for all numbers.

Step1:

LCM(338, 605) = 204490

GCD(338, 605) = ( 338 x 605 ) / 204490

= 338 / 605

= 338

Step2:

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

= 1 / 30

= 1

Step3:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1

So, Greatest Common Divisor of 338, 605, 30, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 519, 153, 65, 377
• GCD of 743, 452, 90, 299
• GCD of 887, 738, 41, 462
• GCD of 975, 895, 71, 563
• GCD of 319, 703, 95, 355

Given numbers are 338, 605, 30, 600
The greatest common divisor of numbers 338, 605, 30, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 605, 30, 600 is 1.

1. What is the GCD of 338, 605, 30, 600?

GCD of given numbers 338, 605, 30, 600 is 1

2. How to calculate the greatest common divisor of 338, 605, 30, 600?

We can find the highest common divisor of 338, 605, 30, 600 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 338, 605, 30, 600 i.e 1.

3. How can I use the GCD of 338, 605, 30, 600Calculator?

Out the numbers 338, 605, 30, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.