GCD of 780, 784, 52, 900 Calculator

Given Input numbers are 780, 784, 52, 900

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 780, 784, 52, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 784, 52, 900 is 4.

Therefore, GCD of numbers 780, 784, 52, 900 is 4

Given Input Data is 780, 784, 52, 900

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

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(780, 784) = 152880

GCD(780, 784) = ( 780 x 784 ) / 152880

GCD(780, 784) = 611520 / 152880

GCD(780, 784) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 52

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

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

GCD(4, 52) = 208 / 52

GCD(4, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 900

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

LCM(4, 900) = 900

GCD(4, 900) = ( 4 x 900 ) / 900

GCD(4, 900) = 3600 / 900

GCD(4, 900) = 4

GCD of 780, 784, 52, 900 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 289, 97, 231
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• GCD of 221, 379, 26, 497

1. What is the GCD of 780, 784, 52, 900?

GCD of 780, 784, 52, 900 is 4

2. Where do I get the detailed procedure to find GCD of 780, 784, 52, 900?

You can find a detailed procedure to find GCD of 780, 784, 52, 900 on our page.

3. How to find GCD of 780, 784, 52, 900 on a calculator?

You can find the GCD of 780, 784, 52, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.