GCD of 109, 887, 54, 149 Calculator

Given Input numbers are 109, 887, 54, 149

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

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 109, 887, 54, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 887, 54, 149 is 1.

Therefore, GCD of numbers 109, 887, 54, 149 is 1

Given Input Data is 109, 887, 54, 149

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

Prime Factorization of 109 is 109

Prime Factorization of 887 is 887

Prime Factorization of 54 is 2 x 3 x 3 x 3

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(109, 887) = 96683

GCD(109, 887) = ( 109 x 887 ) / 96683

GCD(109, 887) = 96683 / 96683

GCD(109, 887) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 109, 887, 54, 149 is 1

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• GCD of 738, 259, 42, 250
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1. What is the GCD of 109, 887, 54, 149?

GCD of 109, 887, 54, 149 is 1

2. Where do I get the detailed procedure to find GCD of 109, 887, 54, 149?

You can find a detailed procedure to find GCD of 109, 887, 54, 149 on our page.

3. How to find GCD of 109, 887, 54, 149 on a calculator?

You can find the GCD of 109, 887, 54, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.