GCD of 292, 340, 486, 638 Calculator

Given Input numbers are 292, 340, 486, 638

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

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 292, 340, 486, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 340, 486, 638 is 2.

Therefore, GCD of numbers 292, 340, 486, 638 is 2

Given Input Data is 292, 340, 486, 638

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

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 638 is 2 x 11 x 29

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(292, 340) = 24820

GCD(292, 340) = ( 292 x 340 ) / 24820

GCD(292, 340) = 99280 / 24820

GCD(292, 340) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 486

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

LCM(4, 486) = 972

GCD(4, 486) = ( 4 x 486 ) / 972

GCD(4, 486) = 1944 / 972

GCD(4, 486) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 638

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

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

GCD(2, 638) = 1276 / 638

GCD(2, 638) = 2

GCD of 292, 340, 486, 638 is 2

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1. What is the GCD of 292, 340, 486, 638?

GCD of 292, 340, 486, 638 is 2

2. Where do I get the detailed procedure to find GCD of 292, 340, 486, 638?

You can find a detailed procedure to find GCD of 292, 340, 486, 638 on our page.

3. How to find GCD of 292, 340, 486, 638 on a calculator?

You can find the GCD of 292, 340, 486, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.