GCD of 687, 689, 207, 212 Calculator

Given Input numbers are 687, 689, 207, 212

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 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

GCD of numbers is the greatest common divisor

So, the GCD (687, 689, 207, 212) = 1.

Given numbers are 687, 689, 207, 212

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 689 are 13 x 53

Prime factors of 207 are 3 x 3 x 23

Prime factors of 212 are 2 x 2 x 53

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

Given numbers are 687, 689, 207, 212

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

Apply this formula for all numbers.

Step1:

LCM(687, 689) = 473343

GCD(687, 689) = ( 687 x 689 ) / 473343

= 687 / 689

= 687

Step2:

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

= 1 / 207

= 1

Step3:

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

= 1 / 212

= 1

So, Greatest Common Divisor of 687, 689, 207, 212 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 471, 907, 455, 320
• GCD of 617, 797, 699, 179
• GCD of 829, 968, 979, 574
• GCD of 563, 800, 850, 209
• GCD of 902, 335, 676, 509

Given numbers are 687, 689, 207, 212
The greatest common divisor of numbers 687, 689, 207, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 689, 207, 212 is 1.

1. What is the GCD of 687, 689, 207, 212?

GCD of given numbers 687, 689, 207, 212 is 1

2. How to calculate the greatest common divisor of 687, 689, 207, 212?

We can find the highest common divisor of 687, 689, 207, 212 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, 689, 207, 212 i.e 1.

3. How can I use the GCD of 687, 689, 207, 212Calculator?

Out the numbers 687, 689, 207, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.