GCD of 113, 588, 591, 714 Calculator

Given Input numbers are 113, 588, 591, 714

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

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

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

GCD of numbers is the greatest common divisor

So, the GCD (113, 588, 591, 714) = 1.

Given numbers are 113, 588, 591, 714

The list of prime factors of all numbers are

Prime factors of 113 are 113

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 591 are 3 x 197

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

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

Given numbers are 113, 588, 591, 714

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

Apply this formula for all numbers.

Step1:

LCM(113, 588) = 66444

GCD(113, 588) = ( 113 x 588 ) / 66444

= 113 / 588

= 113

Step2:

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

= 1 / 591

= 1

Step3:

LCM(1, 714) = 714

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

= 1 / 714

= 1

So, Greatest Common Divisor of 113, 588, 591, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 486, 577, 357
• GCD of 111, 818, 274, 309
• GCD of 698, 348, 409, 697
• GCD of 211, 344, 521, 849
• GCD of 901, 758, 998, 819

Given numbers are 113, 588, 591, 714
The greatest common divisor of numbers 113, 588, 591, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 113, 588, 591, 714 is 1.

1. What is the GCD of 113, 588, 591, 714?

GCD of given numbers 113, 588, 591, 714 is 1

2. How to calculate the greatest common divisor of 113, 588, 591, 714?

We can find the highest common divisor of 113, 588, 591, 714 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 113, 588, 591, 714 i.e 1.

3. How can I use the GCD of 113, 588, 591, 714Calculator?

Out the numbers 113, 588, 591, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.