GCD of 264, 875, 978, 438 Calculator

Given Input numbers are 264, 875, 978, 438

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

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 264, 875, 978, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 875, 978, 438 is 1.

Therefore, GCD of numbers 264, 875, 978, 438 is 1

Given Input Data is 264, 875, 978, 438

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 978 is 2 x 3 x 163

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(264, 875) = 231000

GCD(264, 875) = ( 264 x 875 ) / 231000

GCD(264, 875) = 231000 / 231000

GCD(264, 875) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 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 264, 875, 978, 438 is 1

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1. What is the GCD of 264, 875, 978, 438?

GCD of 264, 875, 978, 438 is 1

2. Where do I get the detailed procedure to find GCD of 264, 875, 978, 438?

You can find a detailed procedure to find GCD of 264, 875, 978, 438 on our page.

3. How to find GCD of 264, 875, 978, 438 on a calculator?

You can find the GCD of 264, 875, 978, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.