GCD of 214, 317, 689, 697 Calculator

Given Input numbers are 214, 317, 689, 697

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 317 :

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

1, 317

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

GCD of numbers is the greatest common divisor

So, the GCD (214, 317, 689, 697) = 1.

Given numbers are 214, 317, 689, 697

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 317 are 317

Prime factors of 689 are 13 x 53

Prime factors of 697 are 17 x 41

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

Given numbers are 214, 317, 689, 697

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

Apply this formula for all numbers.

Step1:

LCM(214, 317) = 67838

GCD(214, 317) = ( 214 x 317 ) / 67838

= 214 / 317

= 214

Step2:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

Step3:

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

= 1 / 697

= 1

So, Greatest Common Divisor of 214, 317, 689, 697 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 674, 221, 544
• GCD of 780, 650, 540, 846
• GCD of 353, 482, 489, 199
• GCD of 540, 210, 169, 982
• GCD of 318, 201, 357, 835

Given numbers are 214, 317, 689, 697
The greatest common divisor of numbers 214, 317, 689, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 317, 689, 697 is 1.

1. What is the GCD of 214, 317, 689, 697?

GCD of given numbers 214, 317, 689, 697 is 1

2. How to calculate the greatest common divisor of 214, 317, 689, 697?

We can find the highest common divisor of 214, 317, 689, 697 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 214, 317, 689, 697 i.e 1.

3. How can I use the GCD of 214, 317, 689, 697Calculator?

Out the numbers 214, 317, 689, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.