GCD of 689, 512, 666, 471 Calculator

Given Input numbers are 689, 512, 666, 471

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

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

GCD of numbers is the greatest common divisor

So, the GCD (689, 512, 666, 471) = 1.

Given numbers are 689, 512, 666, 471

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 666 are 2 x 3 x 3 x 37

Prime factors of 471 are 3 x 157

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

Given numbers are 689, 512, 666, 471

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

Apply this formula for all numbers.

Step1:

LCM(689, 512) = 352768

GCD(689, 512) = ( 689 x 512 ) / 352768

= 689 / 512

= 689

Step2:

LCM(1, 666) = 666

GCD(1, 666) = ( 1 x 666 ) / 666

= 1 / 666

= 1

Step3:

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

= 1 / 471

= 1

So, Greatest Common Divisor of 689, 512, 666, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 847, 447, 754, 440
• GCD of 447, 188, 764, 639
• GCD of 298, 653, 450, 385
• GCD of 176, 639, 984, 266
• GCD of 643, 745, 424, 771

Given numbers are 689, 512, 666, 471
The greatest common divisor of numbers 689, 512, 666, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 512, 666, 471 is 1.

1. What is the GCD of 689, 512, 666, 471?

GCD of given numbers 689, 512, 666, 471 is 1

2. How to calculate the greatest common divisor of 689, 512, 666, 471?

We can find the highest common divisor of 689, 512, 666, 471 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 689, 512, 666, 471 i.e 1.

3. How can I use the GCD of 689, 512, 666, 471Calculator?

Out the numbers 689, 512, 666, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.