GCD of 899, 943, 45, 361 Calculator

Given Input numbers are 899, 943, 45, 361

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

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 943

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

1, 23, 41, 943

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 899, 943, 45, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 943, 45, 361 is 1.

Therefore, GCD of numbers 899, 943, 45, 361 is 1

Given Input Data is 899, 943, 45, 361

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

Prime Factorization of 899 is 29 x 31

Prime Factorization of 943 is 23 x 41

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 361 is 19 x 19

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(899, 943) = 847757

GCD(899, 943) = ( 899 x 943 ) / 847757

GCD(899, 943) = 847757 / 847757

GCD(899, 943) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 899, 943, 45, 361 is 1

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• GCD of 639, 302, 78, 603
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• GCD of 131, 943, 36, 402

1. What is the GCD of 899, 943, 45, 361?

GCD of 899, 943, 45, 361 is 1

2. Where do I get the detailed procedure to find GCD of 899, 943, 45, 361?

You can find a detailed procedure to find GCD of 899, 943, 45, 361 on our page.

3. How to find GCD of 899, 943, 45, 361 on a calculator?

You can find the GCD of 899, 943, 45, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.