GCD of 524, 895, 972, 438 Calculator

Given Input numbers are 524, 895, 972, 438

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 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 524, 895, 972, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 895, 972, 438 is 1.

Therefore, GCD of numbers 524, 895, 972, 438 is 1

Given Input Data is 524, 895, 972, 438

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 895 is 5 x 179

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 438 is 2 x 3 x 73

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, 895) = 468980

GCD(524, 895) = ( 524 x 895 ) / 468980

GCD(524, 895) = 468980 / 468980

GCD(524, 895) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 524, 895, 972, 438 is 1

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1. What is the GCD of 524, 895, 972, 438?

GCD of 524, 895, 972, 438 is 1

2. Where do I get the detailed procedure to find GCD of 524, 895, 972, 438?

You can find a detailed procedure to find GCD of 524, 895, 972, 438 on our page.

3. How to find GCD of 524, 895, 972, 438 on a calculator?

You can find the GCD of 524, 895, 972, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.