GCD of 231, 540, 564, 838 Calculator

Given Input numbers are 231, 540, 564, 838

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 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (231, 540, 564, 838) = 1.

Given numbers are 231, 540, 564, 838

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 838 are 2 x 419

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

Given numbers are 231, 540, 564, 838

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

Apply this formula for all numbers.

Step1:

LCM(231, 540) = 41580

GCD(231, 540) = ( 231 x 540 ) / 41580

= 231 / 540

= 231

Step2:

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

= 3 / 564

= 3

Step3:

LCM(3, 838) = 2514

GCD(3, 838) = ( 3 x 838 ) / 2514

= 3 / 838

= 3

So, Greatest Common Divisor of 231, 540, 564, 838 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 650, 793, 186
• GCD of 324, 506, 510, 391
• GCD of 477, 672, 747, 398
• GCD of 400, 527, 218, 207
• GCD of 138, 151, 164, 105

Given numbers are 231, 540, 564, 838
The greatest common divisor of numbers 231, 540, 564, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 540, 564, 838 is 1.

1. What is the GCD of 231, 540, 564, 838?

GCD of given numbers 231, 540, 564, 838 is 1

2. How to calculate the greatest common divisor of 231, 540, 564, 838?

We can find the highest common divisor of 231, 540, 564, 838 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, 540, 564, 838 i.e 1.

3. How can I use the GCD of 231, 540, 564, 838Calculator?

Out the numbers 231, 540, 564, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.