GCD of 742, 841, 41, 943 Calculator

Given Input numbers are 742, 841, 41, 943

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

Divisors of 742

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

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

Divisors of 841

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

1, 29, 841

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

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 742, 841, 41, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 841, 41, 943 is 1.

Therefore, GCD of numbers 742, 841, 41, 943 is 1

Given Input Data is 742, 841, 41, 943

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 841 is 29 x 29

Prime Factorization of 41 is 41

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(742, 841) = 624022

GCD(742, 841) = ( 742 x 841 ) / 624022

GCD(742, 841) = 624022 / 624022

GCD(742, 841) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 943

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

LCM(1, 943) = 943

GCD(1, 943) = ( 1 x 943 ) / 943

GCD(1, 943) = 943 / 943

GCD(1, 943) = 1

GCD of 742, 841, 41, 943 is 1

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1. What is the GCD of 742, 841, 41, 943?

GCD of 742, 841, 41, 943 is 1

2. Where do I get the detailed procedure to find GCD of 742, 841, 41, 943?

You can find a detailed procedure to find GCD of 742, 841, 41, 943 on our page.

3. How to find GCD of 742, 841, 41, 943 on a calculator?

You can find the GCD of 742, 841, 41, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.