GCD of 555, 420, 744, 338 Calculator

Given Input numbers are 555, 420, 744, 338

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

Divisors of 555 :

The positive integer divisors of 555 that completely divides 555 are.

1, 3, 5, 15, 37, 111, 185, 555

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (555, 420, 744, 338) = 1.

Given numbers are 555, 420, 744, 338

The list of prime factors of all numbers are

Prime factors of 555 are 3 x 5 x 37

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 338 are 2 x 13 x 13

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

Given numbers are 555, 420, 744, 338

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

Apply this formula for all numbers.

Step1:

LCM(555, 420) = 15540

GCD(555, 420) = ( 555 x 420 ) / 15540

= 555 / 420

= 555

Step2:

LCM(15, 744) = 3720

GCD(15, 744) = ( 15 x 744 ) / 3720

= 15 / 744

= 15

Step3:

LCM(3, 338) = 1014

GCD(3, 338) = ( 3 x 338 ) / 1014

= 3 / 338

= 3

So, Greatest Common Divisor of 555, 420, 744, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 521, 643, 349, 895
• GCD of 743, 439, 266, 582
• GCD of 371, 542, 171, 111
• GCD of 467, 344, 559, 403
• GCD of 900, 249, 202, 708

Given numbers are 555, 420, 744, 338
The greatest common divisor of numbers 555, 420, 744, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 555, 420, 744, 338 is 1.

1. What is the GCD of 555, 420, 744, 338?

GCD of given numbers 555, 420, 744, 338 is 1

2. How to calculate the greatest common divisor of 555, 420, 744, 338?

We can find the highest common divisor of 555, 420, 744, 338 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 555, 420, 744, 338 i.e 1.

3. How can I use the GCD of 555, 420, 744, 338Calculator?

Out the numbers 555, 420, 744, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.