GCD of 135, 476, 561, 317 Calculator

Given Input numbers are 135, 476, 561, 317

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 317 :

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

1, 317

GCD of numbers is the greatest common divisor

So, the GCD (135, 476, 561, 317) = 1.

Given numbers are 135, 476, 561, 317

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 561 are 3 x 11 x 17

Prime factors of 317 are 317

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

Given numbers are 135, 476, 561, 317

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

Apply this formula for all numbers.

Step1:

LCM(135, 476) = 64260

GCD(135, 476) = ( 135 x 476 ) / 64260

= 135 / 476

= 135

Step2:

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

= 1 / 561

= 1

Step3:

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

= 1 / 317

= 1

So, Greatest Common Divisor of 135, 476, 561, 317 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 125, 927, 555
• GCD of 442, 644, 769, 687
• GCD of 700, 794, 808, 244
• GCD of 780, 184, 929, 474
• GCD of 989, 445, 965, 932

Given numbers are 135, 476, 561, 317
The greatest common divisor of numbers 135, 476, 561, 317 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 476, 561, 317 is 1.

1. What is the GCD of 135, 476, 561, 317?

GCD of given numbers 135, 476, 561, 317 is 1

2. How to calculate the greatest common divisor of 135, 476, 561, 317?

We can find the highest common divisor of 135, 476, 561, 317 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 135, 476, 561, 317 i.e 1.

3. How can I use the GCD of 135, 476, 561, 317Calculator?

Out the numbers 135, 476, 561, 317 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.