GCD of 68, 660, 656, 362 Calculator

Given Input numbers are 68, 660, 656, 362

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 68, 660, 656, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 660, 656, 362 is 2.

Therefore, GCD of numbers 68, 660, 656, 362 is 2

Given Input Data is 68, 660, 656, 362

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 362 is 2 x 181

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(68, 660) = 11220

GCD(68, 660) = ( 68 x 660 ) / 11220

GCD(68, 660) = 44880 / 11220

GCD(68, 660) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 656

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

LCM(4, 656) = 656

GCD(4, 656) = ( 4 x 656 ) / 656

GCD(4, 656) = 2624 / 656

GCD(4, 656) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 362

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

LCM(4, 362) = 724

GCD(4, 362) = ( 4 x 362 ) / 724

GCD(4, 362) = 1448 / 724

GCD(4, 362) = 2

GCD of 68, 660, 656, 362 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 951, 821, 735
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• GCD of 48, 740, 180, 869

1. What is the GCD of 68, 660, 656, 362?

GCD of 68, 660, 656, 362 is 2

2. Where do I get the detailed procedure to find GCD of 68, 660, 656, 362?

You can find a detailed procedure to find GCD of 68, 660, 656, 362 on our page.

3. How to find GCD of 68, 660, 656, 362 on a calculator?

You can find the GCD of 68, 660, 656, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.