GCD of 828, 960, 402, 972 Calculator

Given Input numbers are 828, 960, 402, 972

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

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

Greatest Common Divisior

We found the divisors of 828, 960, 402, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 960, 402, 972 is 6.

Therefore, GCD of numbers 828, 960, 402, 972 is 6

Given Input Data is 828, 960, 402, 972

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 402 is 2 x 3 x 67

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

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(828, 960) = 66240

GCD(828, 960) = ( 828 x 960 ) / 66240

GCD(828, 960) = 794880 / 66240

GCD(828, 960) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 402

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

LCM(12, 402) = 804

GCD(12, 402) = ( 12 x 402 ) / 804

GCD(12, 402) = 4824 / 804

GCD(12, 402) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 972

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

LCM(6, 972) = 972

GCD(6, 972) = ( 6 x 972 ) / 972

GCD(6, 972) = 5832 / 972

GCD(6, 972) = 6

GCD of 828, 960, 402, 972 is 6

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1. What is the GCD of 828, 960, 402, 972?

GCD of 828, 960, 402, 972 is 6

2. Where do I get the detailed procedure to find GCD of 828, 960, 402, 972?

You can find a detailed procedure to find GCD of 828, 960, 402, 972 on our page.

3. How to find GCD of 828, 960, 402, 972 on a calculator?

You can find the GCD of 828, 960, 402, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.