GCD of 561, 713, 126, 250 Calculator

Given Input numbers are 561, 713, 126, 250

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 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Greatest Common Divisior

We found the divisors of 561, 713, 126, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 713, 126, 250 is 1.

Therefore, GCD of numbers 561, 713, 126, 250 is 1

Given Input Data is 561, 713, 126, 250

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 713 is 23 x 31

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 250 is 2 x 5 x 5 x 5

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, 713) = 399993

GCD(561, 713) = ( 561 x 713 ) / 399993

GCD(561, 713) = 399993 / 399993

GCD(561, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 126

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

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

GCD(1, 126) = 126 / 126

GCD(1, 126) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 250

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

LCM(1, 250) = 250

GCD(1, 250) = ( 1 x 250 ) / 250

GCD(1, 250) = 250 / 250

GCD(1, 250) = 1

GCD of 561, 713, 126, 250 is 1

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1. What is the GCD of 561, 713, 126, 250?

GCD of 561, 713, 126, 250 is 1

2. Where do I get the detailed procedure to find GCD of 561, 713, 126, 250?

You can find a detailed procedure to find GCD of 561, 713, 126, 250 on our page.

3. How to find GCD of 561, 713, 126, 250 on a calculator?

You can find the GCD of 561, 713, 126, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.