GCD of 941, 744, 344, 315 Calculator

Given Input numbers are 941, 744, 344, 315

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

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 941, 744, 344, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 941, 744, 344, 315 is 1.

Therefore, GCD of numbers 941, 744, 344, 315 is 1

Given Input Data is 941, 744, 344, 315

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

Prime Factorization of 941 is 941

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 315 is 3 x 3 x 5 x 7

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(941, 744) = 700104

GCD(941, 744) = ( 941 x 744 ) / 700104

GCD(941, 744) = 700104 / 700104

GCD(941, 744) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 941, 744, 344, 315 is 1

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1. What is the GCD of 941, 744, 344, 315?

GCD of 941, 744, 344, 315 is 1

2. Where do I get the detailed procedure to find GCD of 941, 744, 344, 315?

You can find a detailed procedure to find GCD of 941, 744, 344, 315 on our page.

3. How to find GCD of 941, 744, 344, 315 on a calculator?

You can find the GCD of 941, 744, 344, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.