GCD of 918, 538, 66, 147 Calculator

Given Input numbers are 918, 538, 66, 147

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 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 918, 538, 66, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 538, 66, 147 is 1.

Therefore, GCD of numbers 918, 538, 66, 147 is 1

Given Input Data is 918, 538, 66, 147

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 538 is 2 x 269

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 147 is 3 x 7 x 7

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, 538) = 246942

GCD(918, 538) = ( 918 x 538 ) / 246942

GCD(918, 538) = 493884 / 246942

GCD(918, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 147

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

LCM(2, 147) = 294

GCD(2, 147) = ( 2 x 147 ) / 294

GCD(2, 147) = 294 / 294

GCD(2, 147) = 1

GCD of 918, 538, 66, 147 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 965, 904, 43, 831
• GCD of 202, 758, 37, 752
• GCD of 953, 356, 91, 788
• GCD of 667, 630, 45, 695
• GCD of 207, 282, 62, 975

1. What is the GCD of 918, 538, 66, 147?

GCD of 918, 538, 66, 147 is 1

2. Where do I get the detailed procedure to find GCD of 918, 538, 66, 147?

You can find a detailed procedure to find GCD of 918, 538, 66, 147 on our page.

3. How to find GCD of 918, 538, 66, 147 on a calculator?

You can find the GCD of 918, 538, 66, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.