GCD of 899, 118, 590, 949 Calculator

Given Input numbers are 899, 118, 590, 949

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 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 899, 118, 590, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 118, 590, 949 is 1.

Therefore, GCD of numbers 899, 118, 590, 949 is 1

Given Input Data is 899, 118, 590, 949

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

Prime Factorization of 899 is 29 x 31

Prime Factorization of 118 is 2 x 59

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 949 is 13 x 73

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, 118) = 106082

GCD(899, 118) = ( 899 x 118 ) / 106082

GCD(899, 118) = 106082 / 106082

GCD(899, 118) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 590

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

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

GCD(1, 590) = 590 / 590

GCD(1, 590) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 899, 118, 590, 949 is 1

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1. What is the GCD of 899, 118, 590, 949?

GCD of 899, 118, 590, 949 is 1

2. Where do I get the detailed procedure to find GCD of 899, 118, 590, 949?

You can find a detailed procedure to find GCD of 899, 118, 590, 949 on our page.

3. How to find GCD of 899, 118, 590, 949 on a calculator?

You can find the GCD of 899, 118, 590, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.