GCD of 949, 152, 77, 589 Calculator

Given Input numbers are 949, 152, 77, 589

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

Divisors of 949

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

1, 13, 73, 949

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 949, 152, 77, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 152, 77, 589 is 1.

Therefore, GCD of numbers 949, 152, 77, 589 is 1

Given Input Data is 949, 152, 77, 589

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 77 is 7 x 11

Prime Factorization of 589 is 19 x 31

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(949, 152) = 144248

GCD(949, 152) = ( 949 x 152 ) / 144248

GCD(949, 152) = 144248 / 144248

GCD(949, 152) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 949, 152, 77, 589 is 1

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1. What is the GCD of 949, 152, 77, 589?

GCD of 949, 152, 77, 589 is 1

2. Where do I get the detailed procedure to find GCD of 949, 152, 77, 589?

You can find a detailed procedure to find GCD of 949, 152, 77, 589 on our page.

3. How to find GCD of 949, 152, 77, 589 on a calculator?

You can find the GCD of 949, 152, 77, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.