GCD of 468, 206, 10, 574 Calculator

Given Input numbers are 468, 206, 10, 574

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 468, 206, 10, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 206, 10, 574 is 2.

Therefore, GCD of numbers 468, 206, 10, 574 is 2

Given Input Data is 468, 206, 10, 574

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 206 is 2 x 103

Prime Factorization of 10 is 2 x 5

Prime Factorization of 574 is 2 x 7 x 41

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(468, 206) = 48204

GCD(468, 206) = ( 468 x 206 ) / 48204

GCD(468, 206) = 96408 / 48204

GCD(468, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 574

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

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

GCD(2, 574) = 1148 / 574

GCD(2, 574) = 2

GCD of 468, 206, 10, 574 is 2

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• GCD of 669, 292, 22, 388
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1. What is the GCD of 468, 206, 10, 574?

GCD of 468, 206, 10, 574 is 2

2. Where do I get the detailed procedure to find GCD of 468, 206, 10, 574?

You can find a detailed procedure to find GCD of 468, 206, 10, 574 on our page.

3. How to find GCD of 468, 206, 10, 574 on a calculator?

You can find the GCD of 468, 206, 10, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.