GCD of 561, 314, 53, 951 Calculator

Given Input numbers are 561, 314, 53, 951

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Greatest Common Divisior

We found the divisors of 561, 314, 53, 951 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 314, 53, 951 is 1.

Therefore, GCD of numbers 561, 314, 53, 951 is 1

Given Input Data is 561, 314, 53, 951

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 314 is 2 x 157

Prime Factorization of 53 is 53

Prime Factorization of 951 is 3 x 317

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(561, 314) = 176154

GCD(561, 314) = ( 561 x 314 ) / 176154

GCD(561, 314) = 176154 / 176154

GCD(561, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 951

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

LCM(1, 951) = 951

GCD(1, 951) = ( 1 x 951 ) / 951

GCD(1, 951) = 951 / 951

GCD(1, 951) = 1

GCD of 561, 314, 53, 951 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 670, 595, 77, 872
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• GCD of 556, 973, 80, 204

1. What is the GCD of 561, 314, 53, 951?

GCD of 561, 314, 53, 951 is 1

2. Where do I get the detailed procedure to find GCD of 561, 314, 53, 951?

You can find a detailed procedure to find GCD of 561, 314, 53, 951 on our page.

3. How to find GCD of 561, 314, 53, 951 on a calculator?

You can find the GCD of 561, 314, 53, 951 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.