GCD of 344, 945, 294, 869 Calculator

Given Input numbers are 344, 945, 294, 869

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

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 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 344, 945, 294, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 945, 294, 869 is 1.

Therefore, GCD of numbers 344, 945, 294, 869 is 1

Given Input Data is 344, 945, 294, 869

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

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 869 is 11 x 79

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(344, 945) = 325080

GCD(344, 945) = ( 344 x 945 ) / 325080

GCD(344, 945) = 325080 / 325080

GCD(344, 945) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

GCD of 344, 945, 294, 869 is 1

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1. What is the GCD of 344, 945, 294, 869?

GCD of 344, 945, 294, 869 is 1

2. Where do I get the detailed procedure to find GCD of 344, 945, 294, 869?

You can find a detailed procedure to find GCD of 344, 945, 294, 869 on our page.

3. How to find GCD of 344, 945, 294, 869 on a calculator?

You can find the GCD of 344, 945, 294, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.