GCD of 689, 651, 714, 588 Calculator

Given Input numbers are 689, 651, 714, 588

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 651 :

The positive integer divisors of 651 that completely divides 651 are.

1, 3, 7, 21, 31, 93, 217, 651

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 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

GCD of numbers is the greatest common divisor

So, the GCD (689, 651, 714, 588) = 1.

Given numbers are 689, 651, 714, 588

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 651 are 3 x 7 x 31

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

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

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

Given numbers are 689, 651, 714, 588

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

Apply this formula for all numbers.

Step1:

LCM(689, 651) = 448539

GCD(689, 651) = ( 689 x 651 ) / 448539

= 689 / 651

= 689

Step2:

LCM(1, 714) = 714

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

= 1 / 714

= 1

Step3:

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

= 1 / 588

= 1

So, Greatest Common Divisor of 689, 651, 714, 588 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 864, 127, 752
• GCD of 162, 250, 564, 673
• GCD of 463, 105, 165, 101
• GCD of 484, 848, 686, 888
• GCD of 964, 401, 349, 176

Given numbers are 689, 651, 714, 588
The greatest common divisor of numbers 689, 651, 714, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 651, 714, 588 is 1.

1. What is the GCD of 689, 651, 714, 588?

GCD of given numbers 689, 651, 714, 588 is 1

2. How to calculate the greatest common divisor of 689, 651, 714, 588?

We can find the highest common divisor of 689, 651, 714, 588 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 689, 651, 714, 588 i.e 1.

3. How can I use the GCD of 689, 651, 714, 588Calculator?

Out the numbers 689, 651, 714, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.