GCD of 714, 682, 310, 311 Calculator

Given Input numbers are 714, 682, 310, 311

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

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 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

GCD of numbers is the greatest common divisor

So, the GCD (714, 682, 310, 311) = 1.

Given numbers are 714, 682, 310, 311

The list of prime factors of all numbers are

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

Prime factors of 682 are 2 x 11 x 31

Prime factors of 310 are 2 x 5 x 31

Prime factors of 311 are 311

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

Given numbers are 714, 682, 310, 311

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

Apply this formula for all numbers.

Step1:

LCM(714, 682) = 243474

GCD(714, 682) = ( 714 x 682 ) / 243474

= 714 / 682

= 714

Step2:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

Step3:

LCM(2, 311) = 622

GCD(2, 311) = ( 2 x 311 ) / 622

= 2 / 311

= 2

So, Greatest Common Divisor of 714, 682, 310, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 726, 282, 534
• GCD of 961, 209, 835, 598
• GCD of 444, 465, 677, 942
• GCD of 809, 903, 991, 607
• GCD of 280, 880, 227, 691

Given numbers are 714, 682, 310, 311
The greatest common divisor of numbers 714, 682, 310, 311 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 682, 310, 311 is 1.

1. What is the GCD of 714, 682, 310, 311?

GCD of given numbers 714, 682, 310, 311 is 1

2. How to calculate the greatest common divisor of 714, 682, 310, 311?

We can find the highest common divisor of 714, 682, 310, 311 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 714, 682, 310, 311 i.e 1.

3. How can I use the GCD of 714, 682, 310, 311Calculator?

Out the numbers 714, 682, 310, 311 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.