GCD of 662, 364, 428, 982 Calculator

Given Input numbers are 662, 364, 428, 982

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

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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 662, 364, 428, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 662, 364, 428, 982 is 2.

Therefore, GCD of numbers 662, 364, 428, 982 is 2

Given Input Data is 662, 364, 428, 982

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

Prime Factorization of 662 is 2 x 331

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 428 is 2 x 2 x 107

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(662, 364) = 120484

GCD(662, 364) = ( 662 x 364 ) / 120484

GCD(662, 364) = 240968 / 120484

GCD(662, 364) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 428

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

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

GCD(2, 428) = 856 / 428

GCD(2, 428) = 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 662, 364, 428, 982 is 2

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1. What is the GCD of 662, 364, 428, 982?

GCD of 662, 364, 428, 982 is 2

2. Where do I get the detailed procedure to find GCD of 662, 364, 428, 982?

You can find a detailed procedure to find GCD of 662, 364, 428, 982 on our page.

3. How to find GCD of 662, 364, 428, 982 on a calculator?

You can find the GCD of 662, 364, 428, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.