GCD of 138, 942, 81, 457 Calculator

Given Input numbers are 138, 942, 81, 457

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 138, 942, 81, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 942, 81, 457 is 1.

Therefore, GCD of numbers 138, 942, 81, 457 is 1

Given Input Data is 138, 942, 81, 457

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 457 is 457

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(138, 942) = 21666

GCD(138, 942) = ( 138 x 942 ) / 21666

GCD(138, 942) = 129996 / 21666

GCD(138, 942) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 81

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

LCM(6, 81) = 162

GCD(6, 81) = ( 6 x 81 ) / 162

GCD(6, 81) = 486 / 162

GCD(6, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 457

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

LCM(3, 457) = 1371

GCD(3, 457) = ( 3 x 457 ) / 1371

GCD(3, 457) = 1371 / 1371

GCD(3, 457) = 1

GCD of 138, 942, 81, 457 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 667, 43, 890
• GCD of 908, 311, 23, 260
• GCD of 232, 970, 95, 384
• GCD of 494, 944, 37, 911
• GCD of 369, 184, 10, 659

1. What is the GCD of 138, 942, 81, 457?

GCD of 138, 942, 81, 457 is 1

2. Where do I get the detailed procedure to find GCD of 138, 942, 81, 457?

You can find a detailed procedure to find GCD of 138, 942, 81, 457 on our page.

3. How to find GCD of 138, 942, 81, 457 on a calculator?

You can find the GCD of 138, 942, 81, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.