GCD of 743, 382, 121, 922 Calculator

Given Input numbers are 743, 382, 121, 922

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

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 743, 382, 121, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 382, 121, 922 is 1.

Therefore, GCD of numbers 743, 382, 121, 922 is 1

Given Input Data is 743, 382, 121, 922

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

Prime Factorization of 743 is 743

Prime Factorization of 382 is 2 x 191

Prime Factorization of 121 is 11 x 11

Prime Factorization of 922 is 2 x 461

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(743, 382) = 283826

GCD(743, 382) = ( 743 x 382 ) / 283826

GCD(743, 382) = 283826 / 283826

GCD(743, 382) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 922

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

LCM(1, 922) = 922

GCD(1, 922) = ( 1 x 922 ) / 922

GCD(1, 922) = 922 / 922

GCD(1, 922) = 1

GCD of 743, 382, 121, 922 is 1

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1. What is the GCD of 743, 382, 121, 922?

GCD of 743, 382, 121, 922 is 1

2. Where do I get the detailed procedure to find GCD of 743, 382, 121, 922?

You can find a detailed procedure to find GCD of 743, 382, 121, 922 on our page.

3. How to find GCD of 743, 382, 121, 922 on a calculator?

You can find the GCD of 743, 382, 121, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.