GCD of 820, 600, 465, 768 Calculator

Given Input numbers are 820, 600, 465, 768

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 820, 600, 465, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 600, 465, 768 is 1.

Therefore, GCD of numbers 820, 600, 465, 768 is 1

Given Input Data is 820, 600, 465, 768

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The above numbers do not have any common prime factor. So GCD is 1

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(820, 600) = 24600

GCD(820, 600) = ( 820 x 600 ) / 24600

GCD(820, 600) = 492000 / 24600

GCD(820, 600) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 465

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

LCM(20, 465) = 1860

GCD(20, 465) = ( 20 x 465 ) / 1860

GCD(20, 465) = 9300 / 1860

GCD(20, 465) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 768

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

LCM(5, 768) = 3840

GCD(5, 768) = ( 5 x 768 ) / 3840

GCD(5, 768) = 3840 / 3840

GCD(5, 768) = 1

GCD of 820, 600, 465, 768 is 1

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• GCD of 693, 227, 235, 336
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1. What is the GCD of 820, 600, 465, 768?

GCD of 820, 600, 465, 768 is 1

2. Where do I get the detailed procedure to find GCD of 820, 600, 465, 768?

You can find a detailed procedure to find GCD of 820, 600, 465, 768 on our page.

3. How to find GCD of 820, 600, 465, 768 on a calculator?

You can find the GCD of 820, 600, 465, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.