GCD of 918, 532, 28, 149 Calculator

Given Input numbers are 918, 532, 28, 149

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 918, 532, 28, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 532, 28, 149 is 1.

Therefore, GCD of numbers 918, 532, 28, 149 is 1

Given Input Data is 918, 532, 28, 149

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 149 is 149

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(918, 532) = 244188

GCD(918, 532) = ( 918 x 532 ) / 244188

GCD(918, 532) = 488376 / 244188

GCD(918, 532) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 149

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

LCM(2, 149) = 298

GCD(2, 149) = ( 2 x 149 ) / 298

GCD(2, 149) = 298 / 298

GCD(2, 149) = 1

GCD of 918, 532, 28, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 860, 63, 298
• GCD of 258, 859, 65, 616
• GCD of 140, 543, 84, 540
• GCD of 503, 496, 79, 438
• GCD of 659, 855, 18, 532

1. What is the GCD of 918, 532, 28, 149?

GCD of 918, 532, 28, 149 is 1

2. Where do I get the detailed procedure to find GCD of 918, 532, 28, 149?

You can find a detailed procedure to find GCD of 918, 532, 28, 149 on our page.

3. How to find GCD of 918, 532, 28, 149 on a calculator?

You can find the GCD of 918, 532, 28, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.