GCD of 369, 690, 47, 953 Calculator

Given Input numbers are 369, 690, 47, 953

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 369, 690, 47, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 690, 47, 953 is 1.

Therefore, GCD of numbers 369, 690, 47, 953 is 1

Given Input Data is 369, 690, 47, 953

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 47 is 47

Prime Factorization of 953 is 953

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(369, 690) = 84870

GCD(369, 690) = ( 369 x 690 ) / 84870

GCD(369, 690) = 254610 / 84870

GCD(369, 690) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 47

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

LCM(3, 47) = 141

GCD(3, 47) = ( 3 x 47 ) / 141

GCD(3, 47) = 141 / 141

GCD(3, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 369, 690, 47, 953 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 147, 55, 343
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• GCD of 491, 813, 96, 788

1. What is the GCD of 369, 690, 47, 953?

GCD of 369, 690, 47, 953 is 1

2. Where do I get the detailed procedure to find GCD of 369, 690, 47, 953?

You can find a detailed procedure to find GCD of 369, 690, 47, 953 on our page.

3. How to find GCD of 369, 690, 47, 953 on a calculator?

You can find the GCD of 369, 690, 47, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.