GCD of 512, 360, 757, 317 Calculator

Given Input numbers are 512, 360, 757, 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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 757 :

The positive integer divisors of 757 that completely divides 757 are.

1, 757

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, 360, 757, 317) = 1.

Given numbers are 512, 360, 757, 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 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 757 are 757

Prime factors of 317 are 317

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

Given numbers are 512, 360, 757, 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, 360) = 23040

GCD(512, 360) = ( 512 x 360 ) / 23040

= 512 / 360

= 512

Step2:

LCM(8, 757) = 6056

GCD(8, 757) = ( 8 x 757 ) / 6056

= 8 / 757

= 8

Step3:

LCM(1, 317) = 317

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

= 1 / 317

= 1

So, Greatest Common Divisor of 512, 360, 757, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 486, 927, 301, 955
• GCD of 760, 423, 910, 181
• GCD of 936, 812, 166, 449
• GCD of 411, 281, 929, 849
• GCD of 209, 136, 445, 511

Given numbers are 512, 360, 757, 317
The greatest common divisor of numbers 512, 360, 757, 317 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 360, 757, 317 is 1.

1. What is the GCD of 512, 360, 757, 317?

GCD of given numbers 512, 360, 757, 317 is 1

2. How to calculate the greatest common divisor of 512, 360, 757, 317?

We can find the highest common divisor of 512, 360, 757, 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, 360, 757, 317 i.e 1.

3. How can I use the GCD of 512, 360, 757, 317Calculator?

Out the numbers 512, 360, 757, 317 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.