GCD of 524, 874, 892, 623 Calculator

Given Input numbers are 524, 874, 892, 623

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 623

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

1, 7, 89, 623

Greatest Common Divisior

We found the divisors of 524, 874, 892, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 874, 892, 623 is 1.

Therefore, GCD of numbers 524, 874, 892, 623 is 1

Given Input Data is 524, 874, 892, 623

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 623 is 7 x 89

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(524, 874) = 228988

GCD(524, 874) = ( 524 x 874 ) / 228988

GCD(524, 874) = 457976 / 228988

GCD(524, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 892

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

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

GCD(2, 892) = 1784 / 892

GCD(2, 892) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 623

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

LCM(2, 623) = 1246

GCD(2, 623) = ( 2 x 623 ) / 1246

GCD(2, 623) = 1246 / 1246

GCD(2, 623) = 1

GCD of 524, 874, 892, 623 is 1

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1. What is the GCD of 524, 874, 892, 623?

GCD of 524, 874, 892, 623 is 1

2. Where do I get the detailed procedure to find GCD of 524, 874, 892, 623?

You can find a detailed procedure to find GCD of 524, 874, 892, 623 on our page.

3. How to find GCD of 524, 874, 892, 623 on a calculator?

You can find the GCD of 524, 874, 892, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.