GCD of 561, 102, 745 Calculator

Given Input numbers are 561, 102, 745

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 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 561, 102, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 102, 745 is 1.

Therefore, GCD of numbers 561, 102, 745 is 1

Given Input Data is 561, 102, 745

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 102 is 2 x 3 x 17

Prime Factorization of 745 is 5 x 149

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, 102) = 1122

GCD(561, 102) = ( 561 x 102 ) / 1122

GCD(561, 102) = 57222 / 1122

GCD(561, 102) = 51

Step2:

Here we consider the GCD from the above i.e. 51 as first number and the next as 745

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

LCM(51, 745) = 37995

GCD(51, 745) = ( 51 x 745 ) / 37995

GCD(51, 745) = 37995 / 37995

GCD(51, 745) = 1

GCD of 561, 102, 745 is 1

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1. What is the GCD of 561, 102, 745?

GCD of 561, 102, 745 is 1

2. Where do I get the detailed procedure to find GCD of 561, 102, 745?

You can find a detailed procedure to find GCD of 561, 102, 745 on our page.

3. How to find GCD of 561, 102, 745 on a calculator?

You can find the GCD of 561, 102, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.