GCD of 149, 540, 29, 943 Calculator

Given Input numbers are 149, 540, 29, 943

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

Divisors of 149

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

1, 149

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Greatest Common Divisior

We found the divisors of 149, 540, 29, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 540, 29, 943 is 1.

Therefore, GCD of numbers 149, 540, 29, 943 is 1

Given Input Data is 149, 540, 29, 943

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

Prime Factorization of 149 is 149

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 29 is 29

Prime Factorization of 943 is 23 x 41

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(149, 540) = 80460

GCD(149, 540) = ( 149 x 540 ) / 80460

GCD(149, 540) = 80460 / 80460

GCD(149, 540) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 943

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

LCM(1, 943) = 943

GCD(1, 943) = ( 1 x 943 ) / 943

GCD(1, 943) = 943 / 943

GCD(1, 943) = 1

GCD of 149, 540, 29, 943 is 1

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1. What is the GCD of 149, 540, 29, 943?

GCD of 149, 540, 29, 943 is 1

2. Where do I get the detailed procedure to find GCD of 149, 540, 29, 943?

You can find a detailed procedure to find GCD of 149, 540, 29, 943 on our page.

3. How to find GCD of 149, 540, 29, 943 on a calculator?

You can find the GCD of 149, 540, 29, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.