GCD of 687, 684, 747, 205 Calculator

Given Input numbers are 687, 684, 747, 205

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 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

GCD of numbers is the greatest common divisor

So, the GCD (687, 684, 747, 205) = 1.

Given numbers are 687, 684, 747, 205

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 747 are 3 x 3 x 83

Prime factors of 205 are 5 x 41

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

Given numbers are 687, 684, 747, 205

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

Apply this formula for all numbers.

Step1:

LCM(687, 684) = 156636

GCD(687, 684) = ( 687 x 684 ) / 156636

= 687 / 684

= 687

Step2:

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

= 3 / 747

= 3

Step3:

LCM(3, 205) = 615

GCD(3, 205) = ( 3 x 205 ) / 615

= 3 / 205

= 3

So, Greatest Common Divisor of 687, 684, 747, 205 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 667, 207, 173
• GCD of 129, 595, 665, 465
• GCD of 834, 410, 557, 456
• GCD of 444, 795, 933, 169
• GCD of 716, 600, 765, 753

Given numbers are 687, 684, 747, 205
The greatest common divisor of numbers 687, 684, 747, 205 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 684, 747, 205 is 1.

1. What is the GCD of 687, 684, 747, 205?

GCD of given numbers 687, 684, 747, 205 is 1

2. How to calculate the greatest common divisor of 687, 684, 747, 205?

We can find the highest common divisor of 687, 684, 747, 205 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, 684, 747, 205 i.e 1.

3. How can I use the GCD of 687, 684, 747, 205Calculator?

Out the numbers 687, 684, 747, 205 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.