GCD of 800, 148, 64, 660 Calculator

Given Input numbers are 800, 148, 64, 660

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

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 800, 148, 64, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 148, 64, 660 is 4.

Therefore, GCD of numbers 800, 148, 64, 660 is 4

Given Input Data is 800, 148, 64, 660

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(800, 148) = 29600

GCD(800, 148) = ( 800 x 148 ) / 29600

GCD(800, 148) = 118400 / 29600

GCD(800, 148) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 64

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

LCM(4, 64) = 64

GCD(4, 64) = ( 4 x 64 ) / 64

GCD(4, 64) = 256 / 64

GCD(4, 64) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 660

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

LCM(4, 660) = 660

GCD(4, 660) = ( 4 x 660 ) / 660

GCD(4, 660) = 2640 / 660

GCD(4, 660) = 4

GCD of 800, 148, 64, 660 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 634, 70, 596
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• GCD of 599, 880, 90, 638

1. What is the GCD of 800, 148, 64, 660?

GCD of 800, 148, 64, 660 is 4

2. Where do I get the detailed procedure to find GCD of 800, 148, 64, 660?

You can find a detailed procedure to find GCD of 800, 148, 64, 660 on our page.

3. How to find GCD of 800, 148, 64, 660 on a calculator?

You can find the GCD of 800, 148, 64, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.