GCD of 841, 944, 344, 742 Calculator

Given Input numbers are 841, 944, 344, 742

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

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 841, 944, 344, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 841, 944, 344, 742 is 1.

Therefore, GCD of numbers 841, 944, 344, 742 is 1

Given Input Data is 841, 944, 344, 742

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

Prime Factorization of 841 is 29 x 29

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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

Prime Factorization of 742 is 2 x 7 x 53

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(841, 944) = 793904

GCD(841, 944) = ( 841 x 944 ) / 793904

GCD(841, 944) = 793904 / 793904

GCD(841, 944) = 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 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 841, 944, 344, 742 is 1

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1. What is the GCD of 841, 944, 344, 742?

GCD of 841, 944, 344, 742 is 1

2. Where do I get the detailed procedure to find GCD of 841, 944, 344, 742?

You can find a detailed procedure to find GCD of 841, 944, 344, 742 on our page.

3. How to find GCD of 841, 944, 344, 742 on a calculator?

You can find the GCD of 841, 944, 344, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.