GCD of 640, 815, 985, 300 Calculator

Given Input numbers are 640, 815, 985, 300

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

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 640, 815, 985, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 815, 985, 300 is 5.

Therefore, GCD of numbers 640, 815, 985, 300 is 5

Given Input Data is 640, 815, 985, 300

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

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 815 is 5 x 163

Prime Factorization of 985 is 5 x 197

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(640, 815) = 104320

GCD(640, 815) = ( 640 x 815 ) / 104320

GCD(640, 815) = 521600 / 104320

GCD(640, 815) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 985

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

LCM(5, 985) = 985

GCD(5, 985) = ( 5 x 985 ) / 985

GCD(5, 985) = 4925 / 985

GCD(5, 985) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 300

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

LCM(5, 300) = 300

GCD(5, 300) = ( 5 x 300 ) / 300

GCD(5, 300) = 1500 / 300

GCD(5, 300) = 5

GCD of 640, 815, 985, 300 is 5

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1. What is the GCD of 640, 815, 985, 300?

GCD of 640, 815, 985, 300 is 5

2. Where do I get the detailed procedure to find GCD of 640, 815, 985, 300?

You can find a detailed procedure to find GCD of 640, 815, 985, 300 on our page.

3. How to find GCD of 640, 815, 985, 300 on a calculator?

You can find the GCD of 640, 815, 985, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.