GCD of 58, 506, 186, 196 Calculator

Given Input numbers are 58, 506, 186, 196

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 58, 506, 186, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 506, 186, 196 is 2.

Therefore, GCD of numbers 58, 506, 186, 196 is 2

Given Input Data is 58, 506, 186, 196

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 196 is 2 x 2 x 7 x 7

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(58, 506) = 14674

GCD(58, 506) = ( 58 x 506 ) / 14674

GCD(58, 506) = 29348 / 14674

GCD(58, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 186

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

LCM(2, 186) = 186

GCD(2, 186) = ( 2 x 186 ) / 186

GCD(2, 186) = 372 / 186

GCD(2, 186) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 196

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

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

GCD(2, 196) = 392 / 196

GCD(2, 196) = 2

GCD of 58, 506, 186, 196 is 2

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• GCD of 95, 578, 884, 461
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1. What is the GCD of 58, 506, 186, 196?

GCD of 58, 506, 186, 196 is 2

2. Where do I get the detailed procedure to find GCD of 58, 506, 186, 196?

You can find a detailed procedure to find GCD of 58, 506, 186, 196 on our page.

3. How to find GCD of 58, 506, 186, 196 on a calculator?

You can find the GCD of 58, 506, 186, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.