GCD of 149, 509, 446, 985 Calculator

Given Input numbers are 149, 509, 446, 985

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 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Greatest Common Divisior

We found the divisors of 149, 509, 446, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 509, 446, 985 is 1.

Therefore, GCD of numbers 149, 509, 446, 985 is 1

Given Input Data is 149, 509, 446, 985

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

Prime Factorization of 149 is 149

Prime Factorization of 509 is 509

Prime Factorization of 446 is 2 x 223

Prime Factorization of 985 is 5 x 197

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, 509) = 75841

GCD(149, 509) = ( 149 x 509 ) / 75841

GCD(149, 509) = 75841 / 75841

GCD(149, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 985

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

LCM(1, 985) = 985

GCD(1, 985) = ( 1 x 985 ) / 985

GCD(1, 985) = 985 / 985

GCD(1, 985) = 1

GCD of 149, 509, 446, 985 is 1

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1. What is the GCD of 149, 509, 446, 985?

GCD of 149, 509, 446, 985 is 1

2. Where do I get the detailed procedure to find GCD of 149, 509, 446, 985?

You can find a detailed procedure to find GCD of 149, 509, 446, 985 on our page.

3. How to find GCD of 149, 509, 446, 985 on a calculator?

You can find the GCD of 149, 509, 446, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.