GCD of 317, 513, 714, 428 Calculator

Given Input numbers are 317, 513, 714, 428

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

Divisors of 317 :

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

1, 317

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (317, 513, 714, 428) = 1.

Given numbers are 317, 513, 714, 428

The list of prime factors of all numbers are

Prime factors of 317 are 317

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 428 are 2 x 2 x 107

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

Given numbers are 317, 513, 714, 428

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

Apply this formula for all numbers.

Step1:

LCM(317, 513) = 162621

GCD(317, 513) = ( 317 x 513 ) / 162621

= 317 / 513

= 317

Step2:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

Step3:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

So, Greatest Common Divisor of 317, 513, 714, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 435, 131, 748
• GCD of 351, 782, 303, 545
• GCD of 955, 584, 529, 559
• GCD of 921, 812, 272, 787
• GCD of 858, 486, 846, 611

Given numbers are 317, 513, 714, 428
The greatest common divisor of numbers 317, 513, 714, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 317, 513, 714, 428 is 1.

1. What is the GCD of 317, 513, 714, 428?

GCD of given numbers 317, 513, 714, 428 is 1

2. How to calculate the greatest common divisor of 317, 513, 714, 428?

We can find the highest common divisor of 317, 513, 714, 428 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 317, 513, 714, 428 i.e 1.

3. How can I use the GCD of 317, 513, 714, 428Calculator?

Out the numbers 317, 513, 714, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.