GCD of 332, 784, 78, 660 Calculator

Given Input numbers are 332, 784, 78, 660

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

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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

Greatest Common Divisior

We found the divisors of 332, 784, 78, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 784, 78, 660 is 2.

Therefore, GCD of numbers 332, 784, 78, 660 is 2

Given Input Data is 332, 784, 78, 660

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

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 78 is 2 x 3 x 13

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

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(332, 784) = 65072

GCD(332, 784) = ( 332 x 784 ) / 65072

GCD(332, 784) = 260288 / 65072

GCD(332, 784) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 78

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

LCM(4, 78) = 156

GCD(4, 78) = ( 4 x 78 ) / 156

GCD(4, 78) = 312 / 156

GCD(4, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 660

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

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

GCD(2, 660) = 1320 / 660

GCD(2, 660) = 2

GCD of 332, 784, 78, 660 is 2

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1. What is the GCD of 332, 784, 78, 660?

GCD of 332, 784, 78, 660 is 2

2. Where do I get the detailed procedure to find GCD of 332, 784, 78, 660?

You can find a detailed procedure to find GCD of 332, 784, 78, 660 on our page.

3. How to find GCD of 332, 784, 78, 660 on a calculator?

You can find the GCD of 332, 784, 78, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.