GCD of 114, 734, 997, 841 Calculator

Given Input numbers are 114, 734, 997, 841

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 841

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

1, 29, 841

Greatest Common Divisior

We found the divisors of 114, 734, 997, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 734, 997, 841 is 1.

Therefore, GCD of numbers 114, 734, 997, 841 is 1

Given Input Data is 114, 734, 997, 841

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 734 is 2 x 367

Prime Factorization of 997 is 997

Prime Factorization of 841 is 29 x 29

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(114, 734) = 41838

GCD(114, 734) = ( 114 x 734 ) / 41838

GCD(114, 734) = 83676 / 41838

GCD(114, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 997

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

LCM(2, 997) = 1994

GCD(2, 997) = ( 2 x 997 ) / 1994

GCD(2, 997) = 1994 / 1994

GCD(2, 997) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 841

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

LCM(1, 841) = 841

GCD(1, 841) = ( 1 x 841 ) / 841

GCD(1, 841) = 841 / 841

GCD(1, 841) = 1

GCD of 114, 734, 997, 841 is 1

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• GCD of 706, 701, 439, 986
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1. What is the GCD of 114, 734, 997, 841?

GCD of 114, 734, 997, 841 is 1

2. Where do I get the detailed procedure to find GCD of 114, 734, 997, 841?

You can find a detailed procedure to find GCD of 114, 734, 997, 841 on our page.

3. How to find GCD of 114, 734, 997, 841 on a calculator?

You can find the GCD of 114, 734, 997, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.