GCD of 231, 150, 338, 900 Calculator

Given Input numbers are 231, 150, 338, 900

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 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (231, 150, 338, 900) = 1.

Given numbers are 231, 150, 338, 900

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 338 are 2 x 13 x 13

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Given numbers are 231, 150, 338, 900

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

Apply this formula for all numbers.

Step1:

LCM(231, 150) = 11550

GCD(231, 150) = ( 231 x 150 ) / 11550

= 231 / 150

= 231

Step2:

LCM(3, 338) = 1014

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

= 3 / 338

= 3

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 231, 150, 338, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 586, 771, 138
• GCD of 629, 918, 400, 279
• GCD of 749, 934, 853, 308
• GCD of 781, 163, 472, 315
• GCD of 284, 513, 917, 763

Given numbers are 231, 150, 338, 900
The greatest common divisor of numbers 231, 150, 338, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 150, 338, 900 is 1.

1. What is the GCD of 231, 150, 338, 900?

GCD of given numbers 231, 150, 338, 900 is 1

2. How to calculate the greatest common divisor of 231, 150, 338, 900?

We can find the highest common divisor of 231, 150, 338, 900 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, 150, 338, 900 i.e 1.

3. How can I use the GCD of 231, 150, 338, 900Calculator?

Out the numbers 231, 150, 338, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.