GCD of 512, 670, 709, 317 Calculator

Given Input numbers are 512, 670, 709, 317

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

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 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 317 :

The positive integer divisors of 317 that completely divides 317 are.

1, 317

GCD of numbers is the greatest common divisor

So, the GCD (512, 670, 709, 317) = 1.

Given numbers are 512, 670, 709, 317

The list of prime factors of all numbers are

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 670 are 2 x 5 x 67

Prime factors of 709 are 709

Prime factors of 317 are 317

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

Given numbers are 512, 670, 709, 317

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

Apply this formula for all numbers.

Step1:

LCM(512, 670) = 171520

GCD(512, 670) = ( 512 x 670 ) / 171520

= 512 / 670

= 512

Step2:

LCM(2, 709) = 1418

GCD(2, 709) = ( 2 x 709 ) / 1418

= 2 / 709

= 2

Step3:

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

= 1 / 317

= 1

So, Greatest Common Divisor of 512, 670, 709, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 193, 670, 553
• GCD of 298, 403, 607, 587
• GCD of 404, 805, 155, 447
• GCD of 945, 732, 793, 309
• GCD of 640, 175, 576, 225

Given numbers are 512, 670, 709, 317
The greatest common divisor of numbers 512, 670, 709, 317 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 670, 709, 317 is 1.

1. What is the GCD of 512, 670, 709, 317?

GCD of given numbers 512, 670, 709, 317 is 1

2. How to calculate the greatest common divisor of 512, 670, 709, 317?

We can find the highest common divisor of 512, 670, 709, 317 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 512, 670, 709, 317 i.e 1.

3. How can I use the GCD of 512, 670, 709, 317Calculator?

Out the numbers 512, 670, 709, 317 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.