GCD of 664, 964, 60, 302 Calculator

Given Input numbers are 664, 964, 60, 302

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 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 664, 964, 60, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 964, 60, 302 is 2.

Therefore, GCD of numbers 664, 964, 60, 302 is 2

Given Input Data is 664, 964, 60, 302

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 964 is 2 x 2 x 241

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 302 is 2 x 151

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, 964) = 160024

GCD(664, 964) = ( 664 x 964 ) / 160024

GCD(664, 964) = 640096 / 160024

GCD(664, 964) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 60

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

LCM(4, 60) = 60

GCD(4, 60) = ( 4 x 60 ) / 60

GCD(4, 60) = 240 / 60

GCD(4, 60) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 302

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

LCM(4, 302) = 604

GCD(4, 302) = ( 4 x 302 ) / 604

GCD(4, 302) = 1208 / 604

GCD(4, 302) = 2

GCD of 664, 964, 60, 302 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 183, 338, 22, 165
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1. What is the GCD of 664, 964, 60, 302?

GCD of 664, 964, 60, 302 is 2

2. Where do I get the detailed procedure to find GCD of 664, 964, 60, 302?

You can find a detailed procedure to find GCD of 664, 964, 60, 302 on our page.

3. How to find GCD of 664, 964, 60, 302 on a calculator?

You can find the GCD of 664, 964, 60, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.