GCD of 231, 918, 289, 338 Calculator

Given Input numbers are 231, 918, 289, 338

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

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 (231, 918, 289, 338) = 1.

Given numbers are 231, 918, 289, 338

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 289 are 17 x 17

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 231, 918, 289, 338

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

Apply this formula for all numbers.

Step1:

LCM(231, 918) = 70686

GCD(231, 918) = ( 231 x 918 ) / 70686

= 231 / 918

= 231

Step2:

LCM(3, 289) = 867

GCD(3, 289) = ( 3 x 289 ) / 867

= 3 / 289

= 3

Step3:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1

So, Greatest Common Divisor of 231, 918, 289, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 377, 271, 300, 762
• GCD of 397, 996, 125, 448
• GCD of 689, 503, 136, 282
• GCD of 986, 456, 813, 945
• GCD of 274, 389, 854, 228

Given numbers are 231, 918, 289, 338
The greatest common divisor of numbers 231, 918, 289, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 918, 289, 338 is 1.

1. What is the GCD of 231, 918, 289, 338?

GCD of given numbers 231, 918, 289, 338 is 1

2. How to calculate the greatest common divisor of 231, 918, 289, 338?

We can find the highest common divisor of 231, 918, 289, 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 231, 918, 289, 338 i.e 1.

3. How can I use the GCD of 231, 918, 289, 338Calculator?

Out the numbers 231, 918, 289, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.