GCD of 338, 909, 355, 180 Calculator

Given Input numbers are 338, 909, 355, 180

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 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (338, 909, 355, 180) = 1.

Given numbers are 338, 909, 355, 180

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 909 are 3 x 3 x 101

Prime factors of 355 are 5 x 71

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

Given numbers are 338, 909, 355, 180

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

Apply this formula for all numbers.

Step1:

LCM(338, 909) = 307242

GCD(338, 909) = ( 338 x 909 ) / 307242

= 338 / 909

= 338

Step2:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1

Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

So, Greatest Common Divisor of 338, 909, 355, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 193, 475, 881
• GCD of 336, 838, 248, 331
• GCD of 495, 480, 850, 124
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• GCD of 572, 158, 729, 161

Given numbers are 338, 909, 355, 180
The greatest common divisor of numbers 338, 909, 355, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 909, 355, 180 is 1.

1. What is the GCD of 338, 909, 355, 180?

GCD of given numbers 338, 909, 355, 180 is 1

2. How to calculate the greatest common divisor of 338, 909, 355, 180?

We can find the highest common divisor of 338, 909, 355, 180 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, 909, 355, 180 i.e 1.

3. How can I use the GCD of 338, 909, 355, 180Calculator?

Out the numbers 338, 909, 355, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.