GCD of 298, 356, 57, 187 Calculator

Given Input numbers are 298, 356, 57, 187

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

Divisors of 298

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

1, 2, 149, 298

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 298, 356, 57, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 356, 57, 187 is 1.

Therefore, GCD of numbers 298, 356, 57, 187 is 1

Given Input Data is 298, 356, 57, 187

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 57 is 3 x 19

Prime Factorization of 187 is 11 x 17

The above numbers do not have any common prime factor. So GCD is 1

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(298, 356) = 53044

GCD(298, 356) = ( 298 x 356 ) / 53044

GCD(298, 356) = 106088 / 53044

GCD(298, 356) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 187

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

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

GCD(1, 187) = 187 / 187

GCD(1, 187) = 1

GCD of 298, 356, 57, 187 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 389, 11, 977
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• GCD of 450, 465, 89, 828

1. What is the GCD of 298, 356, 57, 187?

GCD of 298, 356, 57, 187 is 1

2. Where do I get the detailed procedure to find GCD of 298, 356, 57, 187?

You can find a detailed procedure to find GCD of 298, 356, 57, 187 on our page.

3. How to find GCD of 298, 356, 57, 187 on a calculator?

You can find the GCD of 298, 356, 57, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.