GCD of 714, 313, 727, 981 Calculator

Given Input numbers are 714, 313, 727, 981

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 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 727 :

The positive integer divisors of 727 that completely divides 727 are.

1, 727

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

GCD of numbers is the greatest common divisor

So, the GCD (714, 313, 727, 981) = 1.

Given numbers are 714, 313, 727, 981

The list of prime factors of all numbers are

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

Prime factors of 313 are 313

Prime factors of 727 are 727

Prime factors of 981 are 3 x 3 x 109

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

Given numbers are 714, 313, 727, 981

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

Apply this formula for all numbers.

Step1:

LCM(714, 313) = 223482

GCD(714, 313) = ( 714 x 313 ) / 223482

= 714 / 313

= 714

Step2:

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

= 1 / 727

= 1

Step3:

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

= 1 / 981

= 1

So, Greatest Common Divisor of 714, 313, 727, 981 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 310, 733, 957
• GCD of 216, 743, 613, 180
• GCD of 245, 565, 317, 491
• GCD of 388, 125, 726, 244
• GCD of 137, 296, 298, 605

Given numbers are 714, 313, 727, 981
The greatest common divisor of numbers 714, 313, 727, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 313, 727, 981 is 1.

1. What is the GCD of 714, 313, 727, 981?

GCD of given numbers 714, 313, 727, 981 is 1

2. How to calculate the greatest common divisor of 714, 313, 727, 981?

We can find the highest common divisor of 714, 313, 727, 981 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, 313, 727, 981 i.e 1.

3. How can I use the GCD of 714, 313, 727, 981Calculator?

Out the numbers 714, 313, 727, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.