GCD of 354, 788, 44, 943 Calculator

Given Input numbers are 354, 788, 44, 943

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Greatest Common Divisior

We found the divisors of 354, 788, 44, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 788, 44, 943 is 1.

Therefore, GCD of numbers 354, 788, 44, 943 is 1

Given Input Data is 354, 788, 44, 943

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 943 is 23 x 41

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(354, 788) = 139476

GCD(354, 788) = ( 354 x 788 ) / 139476

GCD(354, 788) = 278952 / 139476

GCD(354, 788) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 44

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

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

GCD(2, 44) = 88 / 44

GCD(2, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 943

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

LCM(2, 943) = 1886

GCD(2, 943) = ( 2 x 943 ) / 1886

GCD(2, 943) = 1886 / 1886

GCD(2, 943) = 1

GCD of 354, 788, 44, 943 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 832, 822, 86, 432
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• GCD of 720, 740, 98, 883

1. What is the GCD of 354, 788, 44, 943?

GCD of 354, 788, 44, 943 is 1

2. Where do I get the detailed procedure to find GCD of 354, 788, 44, 943?

You can find a detailed procedure to find GCD of 354, 788, 44, 943 on our page.

3. How to find GCD of 354, 788, 44, 943 on a calculator?

You can find the GCD of 354, 788, 44, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.