GCD of 357, 318, 43, 380 Calculator

Given Input numbers are 357, 318, 43, 380

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 357, 318, 43, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 318, 43, 380 is 1.

Therefore, GCD of numbers 357, 318, 43, 380 is 1

Given Input Data is 357, 318, 43, 380

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 43 is 43

Prime Factorization of 380 is 2 x 2 x 5 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(357, 318) = 37842

GCD(357, 318) = ( 357 x 318 ) / 37842

GCD(357, 318) = 113526 / 37842

GCD(357, 318) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 43

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

LCM(3, 43) = 129

GCD(3, 43) = ( 3 x 43 ) / 129

GCD(3, 43) = 129 / 129

GCD(3, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 357, 318, 43, 380 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 951, 39, 965
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• GCD of 941, 467, 72, 893

1. What is the GCD of 357, 318, 43, 380?

GCD of 357, 318, 43, 380 is 1

2. Where do I get the detailed procedure to find GCD of 357, 318, 43, 380?

You can find a detailed procedure to find GCD of 357, 318, 43, 380 on our page.

3. How to find GCD of 357, 318, 43, 380 on a calculator?

You can find the GCD of 357, 318, 43, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.