GCD of 382, 840, 704, 122 Calculator

Given Input numbers are 382, 840, 704, 122

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

Divisors of 382

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

1, 2, 191, 382

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 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 382, 840, 704, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 840, 704, 122 is 2.

Therefore, GCD of numbers 382, 840, 704, 122 is 2

Given Input Data is 382, 840, 704, 122

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

Prime Factorization of 382 is 2 x 191

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 122 is 2 x 61

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(382, 840) = 160440

GCD(382, 840) = ( 382 x 840 ) / 160440

GCD(382, 840) = 320880 / 160440

GCD(382, 840) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 704

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

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

GCD(2, 704) = 1408 / 704

GCD(2, 704) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 122

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

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

GCD(2, 122) = 244 / 122

GCD(2, 122) = 2

GCD of 382, 840, 704, 122 is 2

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1. What is the GCD of 382, 840, 704, 122?

GCD of 382, 840, 704, 122 is 2

2. Where do I get the detailed procedure to find GCD of 382, 840, 704, 122?

You can find a detailed procedure to find GCD of 382, 840, 704, 122 on our page.

3. How to find GCD of 382, 840, 704, 122 on a calculator?

You can find the GCD of 382, 840, 704, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.