GCD of 820, 194, 220, 970 Calculator

Given Input numbers are 820, 194, 220, 970

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 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 970

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

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

Greatest Common Divisior

We found the divisors of 820, 194, 220, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 194, 220, 970 is 2.

Therefore, GCD of numbers 820, 194, 220, 970 is 2

Given Input Data is 820, 194, 220, 970

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 194 is 2 x 97

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 970 is 2 x 5 x 97

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 194) = 79540

GCD(820, 194) = ( 820 x 194 ) / 79540

GCD(820, 194) = 159080 / 79540

GCD(820, 194) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 220

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

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

GCD(2, 220) = 440 / 220

GCD(2, 220) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 970

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

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

GCD(2, 970) = 1940 / 970

GCD(2, 970) = 2

GCD of 820, 194, 220, 970 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 532, 932, 872
• GCD of 391, 481, 407, 925
• GCD of 970, 592, 175, 291
• GCD of 871, 613, 822, 977
• GCD of 302, 137, 908, 398

1. What is the GCD of 820, 194, 220, 970?

GCD of 820, 194, 220, 970 is 2

2. Where do I get the detailed procedure to find GCD of 820, 194, 220, 970?

You can find a detailed procedure to find GCD of 820, 194, 220, 970 on our page.

3. How to find GCD of 820, 194, 220, 970 on a calculator?

You can find the GCD of 820, 194, 220, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.