GCD of 258, 350, 20, 372 Calculator

Given Input numbers are 258, 350, 20, 372

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

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Greatest Common Divisior

We found the divisors of 258, 350, 20, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 350, 20, 372 is 2.

Therefore, GCD of numbers 258, 350, 20, 372 is 2

Given Input Data is 258, 350, 20, 372

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 372 is 2 x 2 x 3 x 31

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(258, 350) = 45150

GCD(258, 350) = ( 258 x 350 ) / 45150

GCD(258, 350) = 90300 / 45150

GCD(258, 350) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 372

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

LCM(2, 372) = 372

GCD(2, 372) = ( 2 x 372 ) / 372

GCD(2, 372) = 744 / 372

GCD(2, 372) = 2

GCD of 258, 350, 20, 372 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 825, 175, 40, 281
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• GCD of 910, 193, 77, 663
• GCD of 403, 892, 38, 331
• GCD of 985, 114, 93, 801

1. What is the GCD of 258, 350, 20, 372?

GCD of 258, 350, 20, 372 is 2

2. Where do I get the detailed procedure to find GCD of 258, 350, 20, 372?

You can find a detailed procedure to find GCD of 258, 350, 20, 372 on our page.

3. How to find GCD of 258, 350, 20, 372 on a calculator?

You can find the GCD of 258, 350, 20, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.