GCD of 356, 685, 89, 909 Calculator

Given Input numbers are 356, 685, 89, 909

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 89

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

1, 89

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 356, 685, 89, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 685, 89, 909 is 1.

Therefore, GCD of numbers 356, 685, 89, 909 is 1

Given Input Data is 356, 685, 89, 909

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 685 is 5 x 137

Prime Factorization of 89 is 89

Prime Factorization of 909 is 3 x 3 x 101

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(356, 685) = 243860

GCD(356, 685) = ( 356 x 685 ) / 243860

GCD(356, 685) = 243860 / 243860

GCD(356, 685) = 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 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 356, 685, 89, 909 is 1

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1. What is the GCD of 356, 685, 89, 909?

GCD of 356, 685, 89, 909 is 1

2. Where do I get the detailed procedure to find GCD of 356, 685, 89, 909?

You can find a detailed procedure to find GCD of 356, 685, 89, 909 on our page.

3. How to find GCD of 356, 685, 89, 909 on a calculator?

You can find the GCD of 356, 685, 89, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.