GCD of 379, 723, 953, 144 Calculator

Given Input numbers are 379, 723, 953, 144

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

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 953

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

1, 953

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 379, 723, 953, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 379, 723, 953, 144 is 1.

Therefore, GCD of numbers 379, 723, 953, 144 is 1

Given Input Data is 379, 723, 953, 144

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

Prime Factorization of 379 is 379

Prime Factorization of 723 is 3 x 241

Prime Factorization of 953 is 953

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(379, 723) = 274017

GCD(379, 723) = ( 379 x 723 ) / 274017

GCD(379, 723) = 274017 / 274017

GCD(379, 723) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 379, 723, 953, 144 is 1

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1. What is the GCD of 379, 723, 953, 144?

GCD of 379, 723, 953, 144 is 1

2. Where do I get the detailed procedure to find GCD of 379, 723, 953, 144?

You can find a detailed procedure to find GCD of 379, 723, 953, 144 on our page.

3. How to find GCD of 379, 723, 953, 144 on a calculator?

You can find the GCD of 379, 723, 953, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.