GCD of 978, 534, 864, 669 Calculator

Given Input numbers are 978, 534, 864, 669

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

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 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 978, 534, 864, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 534, 864, 669 is 3.

Therefore, GCD of numbers 978, 534, 864, 669 is 3

Given Input Data is 978, 534, 864, 669

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 669 is 3 x 223

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(978, 534) = 87042

GCD(978, 534) = ( 978 x 534 ) / 87042

GCD(978, 534) = 522252 / 87042

GCD(978, 534) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 864

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

LCM(6, 864) = 864

GCD(6, 864) = ( 6 x 864 ) / 864

GCD(6, 864) = 5184 / 864

GCD(6, 864) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 669

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

LCM(6, 669) = 1338

GCD(6, 669) = ( 6 x 669 ) / 1338

GCD(6, 669) = 4014 / 1338

GCD(6, 669) = 3

GCD of 978, 534, 864, 669 is 3

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1. What is the GCD of 978, 534, 864, 669?

GCD of 978, 534, 864, 669 is 3

2. Where do I get the detailed procedure to find GCD of 978, 534, 864, 669?

You can find a detailed procedure to find GCD of 978, 534, 864, 669 on our page.

3. How to find GCD of 978, 534, 864, 669 on a calculator?

You can find the GCD of 978, 534, 864, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.