GCD of 732, 376, 90, 644 Calculator

Given Input numbers are 732, 376, 90, 644

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 732, 376, 90, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 376, 90, 644 is 2.

Therefore, GCD of numbers 732, 376, 90, 644 is 2

Given Input Data is 732, 376, 90, 644

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 644 is 2 x 2 x 7 x 23

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(732, 376) = 68808

GCD(732, 376) = ( 732 x 376 ) / 68808

GCD(732, 376) = 275232 / 68808

GCD(732, 376) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 90

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

LCM(4, 90) = 180

GCD(4, 90) = ( 4 x 90 ) / 180

GCD(4, 90) = 360 / 180

GCD(4, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 644

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

LCM(2, 644) = 644

GCD(2, 644) = ( 2 x 644 ) / 644

GCD(2, 644) = 1288 / 644

GCD(2, 644) = 2

GCD of 732, 376, 90, 644 is 2

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1. What is the GCD of 732, 376, 90, 644?

GCD of 732, 376, 90, 644 is 2

2. Where do I get the detailed procedure to find GCD of 732, 376, 90, 644?

You can find a detailed procedure to find GCD of 732, 376, 90, 644 on our page.

3. How to find GCD of 732, 376, 90, 644 on a calculator?

You can find the GCD of 732, 376, 90, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.