GCD of 338, 920, 550, 609 Calculator

Given Input numbers are 338, 920, 550, 609

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 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

GCD of numbers is the greatest common divisor

So, the GCD (338, 920, 550, 609) = 1.

Given numbers are 338, 920, 550, 609

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 609 are 3 x 7 x 29

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

Given numbers are 338, 920, 550, 609

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

Apply this formula for all numbers.

Step1:

LCM(338, 920) = 155480

GCD(338, 920) = ( 338 x 920 ) / 155480

= 338 / 920

= 338

Step2:

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

= 2 / 550

= 2

Step3:

LCM(2, 609) = 1218

GCD(2, 609) = ( 2 x 609 ) / 1218

= 2 / 609

= 2

So, Greatest Common Divisor of 338, 920, 550, 609 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 756, 565, 461
• GCD of 153, 492, 819, 578
• GCD of 864, 621, 262, 181
• GCD of 477, 450, 455, 440
• GCD of 471, 181, 892, 817

Given numbers are 338, 920, 550, 609
The greatest common divisor of numbers 338, 920, 550, 609 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 920, 550, 609 is 1.

1. What is the GCD of 338, 920, 550, 609?

GCD of given numbers 338, 920, 550, 609 is 1

2. How to calculate the greatest common divisor of 338, 920, 550, 609?

We can find the highest common divisor of 338, 920, 550, 609 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, 920, 550, 609 i.e 1.

3. How can I use the GCD of 338, 920, 550, 609Calculator?

Out the numbers 338, 920, 550, 609 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.