GCD of 20, 298, 892, 738 Calculator

Given Input numbers are 20, 298, 892, 738

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 20, 298, 892, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 298, 892, 738 is 2.

Therefore, GCD of numbers 20, 298, 892, 738 is 2

Given Input Data is 20, 298, 892, 738

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 298 is 2 x 149

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 738 is 2 x 3 x 3 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(20, 298) = 2980

GCD(20, 298) = ( 20 x 298 ) / 2980

GCD(20, 298) = 5960 / 2980

GCD(20, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 892

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

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

GCD(2, 892) = 1784 / 892

GCD(2, 892) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 738

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

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

GCD(2, 738) = 1476 / 738

GCD(2, 738) = 2

GCD of 20, 298, 892, 738 is 2

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1. What is the GCD of 20, 298, 892, 738?

GCD of 20, 298, 892, 738 is 2

2. Where do I get the detailed procedure to find GCD of 20, 298, 892, 738?

You can find a detailed procedure to find GCD of 20, 298, 892, 738 on our page.

3. How to find GCD of 20, 298, 892, 738 on a calculator?

You can find the GCD of 20, 298, 892, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.