GCD of 338, 182, 299, 472 Calculator

Given Input numbers are 338, 182, 299, 472

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 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

GCD of numbers is the greatest common divisor

So, the GCD (338, 182, 299, 472) = 1.

Given numbers are 338, 182, 299, 472

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 182 are 2 x 7 x 13

Prime factors of 299 are 13 x 23

Prime factors of 472 are 2 x 2 x 2 x 59

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

Given numbers are 338, 182, 299, 472

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

Apply this formula for all numbers.

Step1:

LCM(338, 182) = 2366

GCD(338, 182) = ( 338 x 182 ) / 2366

= 338 / 182

= 338

Step2:

LCM(26, 299) = 598

GCD(26, 299) = ( 26 x 299 ) / 598

= 26 / 299

= 26

Step3:

LCM(13, 472) = 6136

GCD(13, 472) = ( 13 x 472 ) / 6136

= 13 / 472

= 13

So, Greatest Common Divisor of 338, 182, 299, 472 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 286, 933, 705, 245
• GCD of 948, 754, 169, 918
• GCD of 233, 374, 996, 415
• GCD of 759, 137, 884, 657
• GCD of 675, 235, 658, 389

Given numbers are 338, 182, 299, 472
The greatest common divisor of numbers 338, 182, 299, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 182, 299, 472 is 1.

1. What is the GCD of 338, 182, 299, 472?

GCD of given numbers 338, 182, 299, 472 is 1

2. How to calculate the greatest common divisor of 338, 182, 299, 472?

We can find the highest common divisor of 338, 182, 299, 472 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, 182, 299, 472 i.e 1.

3. How can I use the GCD of 338, 182, 299, 472Calculator?

Out the numbers 338, 182, 299, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.