GCD of 858, 220, 66, 484 Calculator

Given Input numbers are 858, 220, 66, 484

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

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

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 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 858, 220, 66, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 220, 66, 484 is 22.

Therefore, GCD of numbers 858, 220, 66, 484 is 22

Given Input Data is 858, 220, 66, 484

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

Prime Factorization of 858 is 2 x 3 x 11 x 13

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 484 is 2 x 2 x 11 x 11

Highest common occurrences in the given inputs are 11¹ x 2¹

Multiplying them we get the GCD as 22

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(858, 220) = 8580

GCD(858, 220) = ( 858 x 220 ) / 8580

GCD(858, 220) = 188760 / 8580

GCD(858, 220) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 66

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

LCM(22, 66) = 66

GCD(22, 66) = ( 22 x 66 ) / 66

GCD(22, 66) = 1452 / 66

GCD(22, 66) = 22

Step3:

Here we consider the GCD from the above i.e. 22 as first number and the next as 484

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

LCM(22, 484) = 484

GCD(22, 484) = ( 22 x 484 ) / 484

GCD(22, 484) = 10648 / 484

GCD(22, 484) = 22

GCD of 858, 220, 66, 484 is 22

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• GCD of 682, 715, 87, 405
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• GCD of 105, 228, 23, 317

1. What is the GCD of 858, 220, 66, 484?

GCD of 858, 220, 66, 484 is 22

2. Where do I get the detailed procedure to find GCD of 858, 220, 66, 484?

You can find a detailed procedure to find GCD of 858, 220, 66, 484 on our page.

3. How to find GCD of 858, 220, 66, 484 on a calculator?

You can find the GCD of 858, 220, 66, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.