GCD of 820, 428, 972 Calculator

Given Input numbers are 820, 428, 972

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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 820, 428, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 428, 972 is 4.

Therefore, GCD of numbers 820, 428, 972 is 4

Given Input Data is 820, 428, 972

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 428 is 2 x 2 x 107

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 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(820, 428) = 87740

GCD(820, 428) = ( 820 x 428 ) / 87740

GCD(820, 428) = 350960 / 87740

GCD(820, 428) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 972

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

LCM(4, 972) = 972

GCD(4, 972) = ( 4 x 972 ) / 972

GCD(4, 972) = 3888 / 972

GCD(4, 972) = 4

GCD of 820, 428, 972 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 841, 192, 825
• GCD of 254, 888, 455
• GCD of 265, 792, 288
• GCD of 477, 191, 290
• GCD of 938, 417, 990

1. What is the GCD of 820, 428, 972?

GCD of 820, 428, 972 is 4

2. Where do I get the detailed procedure to find GCD of 820, 428, 972?

You can find a detailed procedure to find GCD of 820, 428, 972 on our page.

3. How to find GCD of 820, 428, 972 on a calculator?

You can find the GCD of 820, 428, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.