GCD of 187, 462, 91, 754 Calculator

Given Input numbers are 187, 462, 91, 754

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 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 187, 462, 91, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 187, 462, 91, 754 is 1.

Therefore, GCD of numbers 187, 462, 91, 754 is 1

Given Input Data is 187, 462, 91, 754

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

Prime Factorization of 187 is 11 x 17

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 91 is 7 x 13

Prime Factorization of 754 is 2 x 13 x 29

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, 462) = 7854

GCD(187, 462) = ( 187 x 462 ) / 7854

GCD(187, 462) = 86394 / 7854

GCD(187, 462) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 91

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

LCM(11, 91) = 1001

GCD(11, 91) = ( 11 x 91 ) / 1001

GCD(11, 91) = 1001 / 1001

GCD(11, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 187, 462, 91, 754 is 1

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1. What is the GCD of 187, 462, 91, 754?

GCD of 187, 462, 91, 754 is 1

2. Where do I get the detailed procedure to find GCD of 187, 462, 91, 754?

You can find a detailed procedure to find GCD of 187, 462, 91, 754 on our page.

3. How to find GCD of 187, 462, 91, 754 on a calculator?

You can find the GCD of 187, 462, 91, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.