GCD of 970, 270, 820 Calculator

Given Input numbers are 970, 270, 820

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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

Greatest Common Divisior

We found the divisors of 970, 270, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 270, 820 is 10.

Therefore, GCD of numbers 970, 270, 820 is 10

Given Input Data is 970, 270, 820

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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

Highest common occurrences in the given inputs are 2¹ x 5¹

Multiplying them we get the GCD as 10

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(970, 270) = 26190

GCD(970, 270) = ( 970 x 270 ) / 26190

GCD(970, 270) = 261900 / 26190

GCD(970, 270) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 820

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

LCM(10, 820) = 820

GCD(10, 820) = ( 10 x 820 ) / 820

GCD(10, 820) = 8200 / 820

GCD(10, 820) = 10

GCD of 970, 270, 820 is 10

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1. What is the GCD of 970, 270, 820?

GCD of 970, 270, 820 is 10

2. Where do I get the detailed procedure to find GCD of 970, 270, 820?

You can find a detailed procedure to find GCD of 970, 270, 820 on our page.

3. How to find GCD of 970, 270, 820 on a calculator?

You can find the GCD of 970, 270, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.