GCD of 627, 874, 306, 154 Calculator

Given Input numbers are 627, 874, 306, 154

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

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 627, 874, 306, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 874, 306, 154 is 1.

Therefore, GCD of numbers 627, 874, 306, 154 is 1

Given Input Data is 627, 874, 306, 154

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

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 154 is 2 x 7 x 11

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(627, 874) = 28842

GCD(627, 874) = ( 627 x 874 ) / 28842

GCD(627, 874) = 547998 / 28842

GCD(627, 874) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 306

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

LCM(19, 306) = 5814

GCD(19, 306) = ( 19 x 306 ) / 5814

GCD(19, 306) = 5814 / 5814

GCD(19, 306) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

GCD of 627, 874, 306, 154 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 880, 462, 322
• GCD of 750, 846, 461, 335
• GCD of 429, 376, 512, 974
• GCD of 147, 667, 512, 212
• GCD of 477, 106, 977, 843

1. What is the GCD of 627, 874, 306, 154?

GCD of 627, 874, 306, 154 is 1

2. Where do I get the detailed procedure to find GCD of 627, 874, 306, 154?

You can find a detailed procedure to find GCD of 627, 874, 306, 154 on our page.

3. How to find GCD of 627, 874, 306, 154 on a calculator?

You can find the GCD of 627, 874, 306, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.