GCD of 317, 189, 253, 218 Calculator

Given Input numbers are 317, 189, 253, 218

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

Divisors of 317 :

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

1, 317

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

GCD of numbers is the greatest common divisor

So, the GCD (317, 189, 253, 218) = 1.

Given numbers are 317, 189, 253, 218

The list of prime factors of all numbers are

Prime factors of 317 are 317

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 253 are 11 x 23

Prime factors of 218 are 2 x 109

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

Given numbers are 317, 189, 253, 218

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

Apply this formula for all numbers.

Step1:

LCM(317, 189) = 59913

GCD(317, 189) = ( 317 x 189 ) / 59913

= 317 / 189

= 317

Step2:

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

= 1 / 253

= 1

Step3:

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

= 1 / 218

= 1

So, Greatest Common Divisor of 317, 189, 253, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 605, 918, 127
• GCD of 520, 465, 427, 120
• GCD of 485, 144, 557, 784
• GCD of 462, 155, 442, 523
• GCD of 722, 171, 649, 453

Given numbers are 317, 189, 253, 218
The greatest common divisor of numbers 317, 189, 253, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 317, 189, 253, 218 is 1.

1. What is the GCD of 317, 189, 253, 218?

GCD of given numbers 317, 189, 253, 218 is 1

2. How to calculate the greatest common divisor of 317, 189, 253, 218?

We can find the highest common divisor of 317, 189, 253, 218 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 317, 189, 253, 218 i.e 1.

3. How can I use the GCD of 317, 189, 253, 218Calculator?

Out the numbers 317, 189, 253, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.