GCD of 688, 317, 852, 460 Calculator

Given Input numbers are 688, 317, 852, 460

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 317 :

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

1, 317

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (688, 317, 852, 460) = 1.

Given numbers are 688, 317, 852, 460

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 317 are 317

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 460 are 2 x 2 x 5 x 23

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

Given numbers are 688, 317, 852, 460

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

Apply this formula for all numbers.

Step1:

LCM(688, 317) = 218096

GCD(688, 317) = ( 688 x 317 ) / 218096

= 688 / 317

= 688

Step2:

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

= 1 / 852

= 1

Step3:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

So, Greatest Common Divisor of 688, 317, 852, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 302, 581, 529
• GCD of 525, 960, 732, 868
• GCD of 241, 105, 284, 494
• GCD of 774, 733, 337, 941
• GCD of 400, 506, 851, 233

Given numbers are 688, 317, 852, 460
The greatest common divisor of numbers 688, 317, 852, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 317, 852, 460 is 1.

1. What is the GCD of 688, 317, 852, 460?

GCD of given numbers 688, 317, 852, 460 is 1

2. How to calculate the greatest common divisor of 688, 317, 852, 460?

We can find the highest common divisor of 688, 317, 852, 460 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 688, 317, 852, 460 i.e 1.

3. How can I use the GCD of 688, 317, 852, 460Calculator?

Out the numbers 688, 317, 852, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.