GCD of 540, 703, 687, 231 Calculator

Given Input numbers are 540, 703, 687, 231

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

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 703 :

The positive integer divisors of 703 that completely divides 703 are.

1, 19, 37, 703

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 231 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (540, 703, 687, 231) = 1.

Given numbers are 540, 703, 687, 231

The list of prime factors of all numbers are

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

Prime factors of 703 are 19 x 37

Prime factors of 687 are 3 x 229

Prime factors of 231 are 3 x 7 x 11

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

Given numbers are 540, 703, 687, 231

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

Apply this formula for all numbers.

Step1:

LCM(540, 703) = 379620

GCD(540, 703) = ( 540 x 703 ) / 379620

= 540 / 703

= 540

Step2:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

Step3:

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

= 1 / 231

= 1

So, Greatest Common Divisor of 540, 703, 687, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 653, 275, 871, 382
• GCD of 446, 525, 617, 165
• GCD of 239, 466, 376, 940
• GCD of 668, 795, 337, 315
• GCD of 532, 705, 230, 748

Given numbers are 540, 703, 687, 231
The greatest common divisor of numbers 540, 703, 687, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 703, 687, 231 is 1.

1. What is the GCD of 540, 703, 687, 231?

GCD of given numbers 540, 703, 687, 231 is 1

2. How to calculate the greatest common divisor of 540, 703, 687, 231?

We can find the highest common divisor of 540, 703, 687, 231 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 540, 703, 687, 231 i.e 1.

3. How can I use the GCD of 540, 703, 687, 231Calculator?

Out the numbers 540, 703, 687, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.