GCD of 747, 623, 428, 561 Calculator

Given Input numbers are 747, 623, 428, 561

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 561

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

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

Greatest Common Divisior

We found the divisors of 747, 623, 428, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 623, 428, 561 is 1.

Therefore, GCD of numbers 747, 623, 428, 561 is 1

Given Input Data is 747, 623, 428, 561

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 623 is 7 x 89

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 561 is 3 x 11 x 17

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(747, 623) = 465381

GCD(747, 623) = ( 747 x 623 ) / 465381

GCD(747, 623) = 465381 / 465381

GCD(747, 623) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

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

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 747, 623, 428, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 448, 278, 966
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• GCD of 711, 443, 336, 697
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• GCD of 958, 289, 727, 683

1. What is the GCD of 747, 623, 428, 561?

GCD of 747, 623, 428, 561 is 1

2. Where do I get the detailed procedure to find GCD of 747, 623, 428, 561?

You can find a detailed procedure to find GCD of 747, 623, 428, 561 on our page.

3. How to find GCD of 747, 623, 428, 561 on a calculator?

You can find the GCD of 747, 623, 428, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.