GCD of 317, 189, 400, 296 Calculator

Given Input numbers are 317, 189, 400, 296

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 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

GCD of numbers is the greatest common divisor

So, the GCD (317, 189, 400, 296) = 1.

Given numbers are 317, 189, 400, 296

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 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 296 are 2 x 2 x 2 x 37

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

Given numbers are 317, 189, 400, 296

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, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

Step3:

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

= 1 / 296

= 1

So, Greatest Common Divisor of 317, 189, 400, 296 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 276, 971, 599, 693
• GCD of 933, 636, 673, 759
• GCD of 673, 891, 682, 207
• GCD of 525, 626, 230, 424
• GCD of 116, 145, 806, 251

Given numbers are 317, 189, 400, 296
The greatest common divisor of numbers 317, 189, 400, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 317, 189, 400, 296 is 1.

1. What is the GCD of 317, 189, 400, 296?

GCD of given numbers 317, 189, 400, 296 is 1

2. How to calculate the greatest common divisor of 317, 189, 400, 296?

We can find the highest common divisor of 317, 189, 400, 296 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, 400, 296 i.e 1.

3. How can I use the GCD of 317, 189, 400, 296Calculator?

Out the numbers 317, 189, 400, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.