GCD of 60, 904, 508, 864 Calculator

Given Input numbers are 60, 904, 508, 864

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

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

Greatest Common Divisior

We found the divisors of 60, 904, 508, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 904, 508, 864 is 4.

Therefore, GCD of numbers 60, 904, 508, 864 is 4

Given Input Data is 60, 904, 508, 864

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 508 is 2 x 2 x 127

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(60, 904) = 13560

GCD(60, 904) = ( 60 x 904 ) / 13560

GCD(60, 904) = 54240 / 13560

GCD(60, 904) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 508

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

LCM(4, 508) = 508

GCD(4, 508) = ( 4 x 508 ) / 508

GCD(4, 508) = 2032 / 508

GCD(4, 508) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 864

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

LCM(4, 864) = 864

GCD(4, 864) = ( 4 x 864 ) / 864

GCD(4, 864) = 3456 / 864

GCD(4, 864) = 4

GCD of 60, 904, 508, 864 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 965, 616, 753
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• GCD of 90, 399, 597, 615

1. What is the GCD of 60, 904, 508, 864?

GCD of 60, 904, 508, 864 is 4

2. Where do I get the detailed procedure to find GCD of 60, 904, 508, 864?

You can find a detailed procedure to find GCD of 60, 904, 508, 864 on our page.

3. How to find GCD of 60, 904, 508, 864 on a calculator?

You can find the GCD of 60, 904, 508, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.