GCD of 564, 623, 827, 741 Calculator

Given Input numbers are 564, 623, 827, 741

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 623

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

1, 7, 89, 623

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Greatest Common Divisior

We found the divisors of 564, 623, 827, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 623, 827, 741 is 1.

Therefore, GCD of numbers 564, 623, 827, 741 is 1

Given Input Data is 564, 623, 827, 741

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 623 is 7 x 89

Prime Factorization of 827 is 827

Prime Factorization of 741 is 3 x 13 x 19

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(564, 623) = 351372

GCD(564, 623) = ( 564 x 623 ) / 351372

GCD(564, 623) = 351372 / 351372

GCD(564, 623) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 1

GCD of 564, 623, 827, 741 is 1

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• GCD of 932, 906, 532, 947
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1. What is the GCD of 564, 623, 827, 741?

GCD of 564, 623, 827, 741 is 1

2. Where do I get the detailed procedure to find GCD of 564, 623, 827, 741?

You can find a detailed procedure to find GCD of 564, 623, 827, 741 on our page.

3. How to find GCD of 564, 623, 827, 741 on a calculator?

You can find the GCD of 564, 623, 827, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.