GCD of 187, 357, 40, 614 Calculator

Given Input numbers are 187, 357, 40, 614

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

Divisors of 187

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

1, 11, 17, 187

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 187, 357, 40, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 357, 40, 614 is 1.

Therefore, GCD of numbers 187, 357, 40, 614 is 1

Given Input Data is 187, 357, 40, 614

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

Prime Factorization of 187 is 11 x 17

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 614 is 2 x 307

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(187, 357) = 3927

GCD(187, 357) = ( 187 x 357 ) / 3927

GCD(187, 357) = 66759 / 3927

GCD(187, 357) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 40

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

LCM(17, 40) = 680

GCD(17, 40) = ( 17 x 40 ) / 680

GCD(17, 40) = 680 / 680

GCD(17, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

GCD of 187, 357, 40, 614 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 292, 67, 195
• GCD of 463, 525, 88, 429
• GCD of 748, 846, 94, 634
• GCD of 730, 291, 77, 998
• GCD of 342, 495, 58, 630

1. What is the GCD of 187, 357, 40, 614?

GCD of 187, 357, 40, 614 is 1

2. Where do I get the detailed procedure to find GCD of 187, 357, 40, 614?

You can find a detailed procedure to find GCD of 187, 357, 40, 614 on our page.

3. How to find GCD of 187, 357, 40, 614 on a calculator?

You can find the GCD of 187, 357, 40, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.