GCD of 420, 394, 44, 982 Calculator

Given Input numbers are 420, 394, 44, 982

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 420, 394, 44, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 394, 44, 982 is 2.

Therefore, GCD of numbers 420, 394, 44, 982 is 2

Given Input Data is 420, 394, 44, 982

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 394 is 2 x 197

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 982 is 2 x 491

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(420, 394) = 82740

GCD(420, 394) = ( 420 x 394 ) / 82740

GCD(420, 394) = 165480 / 82740

GCD(420, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 44

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

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

GCD(2, 44) = 88 / 44

GCD(2, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 982

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

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

GCD(2, 982) = 1964 / 982

GCD(2, 982) = 2

GCD of 420, 394, 44, 982 is 2

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• GCD of 523, 963, 91, 356
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1. What is the GCD of 420, 394, 44, 982?

GCD of 420, 394, 44, 982 is 2

2. Where do I get the detailed procedure to find GCD of 420, 394, 44, 982?

You can find a detailed procedure to find GCD of 420, 394, 44, 982 on our page.

3. How to find GCD of 420, 394, 44, 982 on a calculator?

You can find the GCD of 420, 394, 44, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.