GCD of 949, 342, 89, 684 Calculator

Given Input numbers are 949, 342, 89, 684

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 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 949, 342, 89, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 342, 89, 684 is 1.

Therefore, GCD of numbers 949, 342, 89, 684 is 1

Given Input Data is 949, 342, 89, 684

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 89 is 89

Prime Factorization of 684 is 2 x 2 x 3 x 3 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(949, 342) = 324558

GCD(949, 342) = ( 949 x 342 ) / 324558

GCD(949, 342) = 324558 / 324558

GCD(949, 342) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 949, 342, 89, 684 is 1

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1. What is the GCD of 949, 342, 89, 684?

GCD of 949, 342, 89, 684 is 1

2. Where do I get the detailed procedure to find GCD of 949, 342, 89, 684?

You can find a detailed procedure to find GCD of 949, 342, 89, 684 on our page.

3. How to find GCD of 949, 342, 89, 684 on a calculator?

You can find the GCD of 949, 342, 89, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.