GCD of 687, 254, 506, 396 Calculator

Given Input numbers are 687, 254, 506, 396

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

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

GCD of numbers is the greatest common divisor

So, the GCD (687, 254, 506, 396) = 1.

Given numbers are 687, 254, 506, 396

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 254 are 2 x 127

Prime factors of 506 are 2 x 11 x 23

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

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

Given numbers are 687, 254, 506, 396

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

Apply this formula for all numbers.

Step1:

LCM(687, 254) = 174498

GCD(687, 254) = ( 687 x 254 ) / 174498

= 687 / 254

= 687

Step2:

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

= 1 / 506

= 1

Step3:

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

= 1 / 396

= 1

So, Greatest Common Divisor of 687, 254, 506, 396 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 457, 186, 575, 387
• GCD of 314, 845, 749, 405
• GCD of 165, 118, 584, 945
• GCD of 276, 930, 830, 718
• GCD of 574, 655, 552, 554

Given numbers are 687, 254, 506, 396
The greatest common divisor of numbers 687, 254, 506, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 254, 506, 396 is 1.

1. What is the GCD of 687, 254, 506, 396?

GCD of given numbers 687, 254, 506, 396 is 1

2. How to calculate the greatest common divisor of 687, 254, 506, 396?

We can find the highest common divisor of 687, 254, 506, 396 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 687, 254, 506, 396 i.e 1.

3. How can I use the GCD of 687, 254, 506, 396Calculator?

Out the numbers 687, 254, 506, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.