GCD of 561, 251, 156, 705 Calculator

Given Input numbers are 561, 251, 156, 705

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 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 561, 251, 156, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 251, 156, 705 is 1.

Therefore, GCD of numbers 561, 251, 156, 705 is 1

Given Input Data is 561, 251, 156, 705

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 251 is 251

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 705 is 3 x 5 x 47

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, 251) = 140811

GCD(561, 251) = ( 561 x 251 ) / 140811

GCD(561, 251) = 140811 / 140811

GCD(561, 251) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 156

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

LCM(1, 156) = 156

GCD(1, 156) = ( 1 x 156 ) / 156

GCD(1, 156) = 156 / 156

GCD(1, 156) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 561, 251, 156, 705 is 1

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1. What is the GCD of 561, 251, 156, 705?

GCD of 561, 251, 156, 705 is 1

2. Where do I get the detailed procedure to find GCD of 561, 251, 156, 705?

You can find a detailed procedure to find GCD of 561, 251, 156, 705 on our page.

3. How to find GCD of 561, 251, 156, 705 on a calculator?

You can find the GCD of 561, 251, 156, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.