GCD of 922, 840, 382, 471 Calculator

Given Input numbers are 922, 840, 382, 471

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

Divisors of 922

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

1, 2, 461, 922

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 382

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

1, 2, 191, 382

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 922, 840, 382, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 922, 840, 382, 471 is 1.

Therefore, GCD of numbers 922, 840, 382, 471 is 1

Given Input Data is 922, 840, 382, 471

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

Prime Factorization of 922 is 2 x 461

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 382 is 2 x 191

Prime Factorization of 471 is 3 x 157

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(922, 840) = 387240

GCD(922, 840) = ( 922 x 840 ) / 387240

GCD(922, 840) = 774480 / 387240

GCD(922, 840) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 382

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

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

GCD(2, 382) = 764 / 382

GCD(2, 382) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 471

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

LCM(2, 471) = 942

GCD(2, 471) = ( 2 x 471 ) / 942

GCD(2, 471) = 942 / 942

GCD(2, 471) = 1

GCD of 922, 840, 382, 471 is 1

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1. What is the GCD of 922, 840, 382, 471?

GCD of 922, 840, 382, 471 is 1

2. Where do I get the detailed procedure to find GCD of 922, 840, 382, 471?

You can find a detailed procedure to find GCD of 922, 840, 382, 471 on our page.

3. How to find GCD of 922, 840, 382, 471 on a calculator?

You can find the GCD of 922, 840, 382, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.