GCD of 680, 317, 714, 387 Calculator

Given Input numbers are 680, 317, 714, 387

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

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 317 :

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

1, 317

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 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

GCD of numbers is the greatest common divisor

So, the GCD (680, 317, 714, 387) = 1.

Given numbers are 680, 317, 714, 387

The list of prime factors of all numbers are

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 317 are 317

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

Prime factors of 387 are 3 x 3 x 43

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

Given numbers are 680, 317, 714, 387

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

Apply this formula for all numbers.

Step1:

LCM(680, 317) = 215560

GCD(680, 317) = ( 680 x 317 ) / 215560

= 680 / 317

= 680

Step2:

LCM(1, 714) = 714

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

= 1 / 714

= 1

Step3:

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

= 1 / 387

= 1

So, Greatest Common Divisor of 680, 317, 714, 387 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 247, 180, 540
• GCD of 142, 333, 287, 570
• GCD of 344, 462, 100, 926
• GCD of 157, 965, 391, 458
• GCD of 900, 872, 602, 375

Given numbers are 680, 317, 714, 387
The greatest common divisor of numbers 680, 317, 714, 387 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 317, 714, 387 is 1.

1. What is the GCD of 680, 317, 714, 387?

GCD of given numbers 680, 317, 714, 387 is 1

2. How to calculate the greatest common divisor of 680, 317, 714, 387?

We can find the highest common divisor of 680, 317, 714, 387 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 680, 317, 714, 387 i.e 1.

3. How can I use the GCD of 680, 317, 714, 387Calculator?

Out the numbers 680, 317, 714, 387 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.