GCD of 214, 557, 402, 187 Calculator

Given Input numbers are 214, 557, 402, 187

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

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 214, 557, 402, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 557, 402, 187 is 1.

Therefore, GCD of numbers 214, 557, 402, 187 is 1

Given Input Data is 214, 557, 402, 187

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 557 is 557

Prime Factorization of 402 is 2 x 3 x 67

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(214, 557) = 119198

GCD(214, 557) = ( 214 x 557 ) / 119198

GCD(214, 557) = 119198 / 119198

GCD(214, 557) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 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 214, 557, 402, 187 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 538, 160, 273
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1. What is the GCD of 214, 557, 402, 187?

GCD of 214, 557, 402, 187 is 1

2. Where do I get the detailed procedure to find GCD of 214, 557, 402, 187?

You can find a detailed procedure to find GCD of 214, 557, 402, 187 on our page.

3. How to find GCD of 214, 557, 402, 187 on a calculator?

You can find the GCD of 214, 557, 402, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.