GCD of 664, 762, 396, 562 Calculator

Given Input numbers are 664, 762, 396, 562

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Greatest Common Divisior

We found the divisors of 664, 762, 396, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 762, 396, 562 is 2.

Therefore, GCD of numbers 664, 762, 396, 562 is 2

Given Input Data is 664, 762, 396, 562

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 562 is 2 x 281

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(664, 762) = 252984

GCD(664, 762) = ( 664 x 762 ) / 252984

GCD(664, 762) = 505968 / 252984

GCD(664, 762) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 396

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

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

GCD(2, 396) = 792 / 396

GCD(2, 396) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 562

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

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

GCD(2, 562) = 1124 / 562

GCD(2, 562) = 2

GCD of 664, 762, 396, 562 is 2

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1. What is the GCD of 664, 762, 396, 562?

GCD of 664, 762, 396, 562 is 2

2. Where do I get the detailed procedure to find GCD of 664, 762, 396, 562?

You can find a detailed procedure to find GCD of 664, 762, 396, 562 on our page.

3. How to find GCD of 664, 762, 396, 562 on a calculator?

You can find the GCD of 664, 762, 396, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.