GCD of 58, 824, 900, 704 Calculator

Given Input numbers are 58, 824, 900, 704

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 58, 824, 900, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 824, 900, 704 is 2.

Therefore, GCD of numbers 58, 824, 900, 704 is 2

Given Input Data is 58, 824, 900, 704

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 824 is 2 x 2 x 2 x 103

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(58, 824) = 23896

GCD(58, 824) = ( 58 x 824 ) / 23896

GCD(58, 824) = 47792 / 23896

GCD(58, 824) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 900

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

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

GCD(2, 900) = 1800 / 900

GCD(2, 900) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 704

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

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

GCD(2, 704) = 1408 / 704

GCD(2, 704) = 2

GCD of 58, 824, 900, 704 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 272, 898, 839
• GCD of 18, 304, 812, 359
• GCD of 22, 414, 971, 422
• GCD of 45, 244, 915, 488
• GCD of 54, 832, 308, 265

1. What is the GCD of 58, 824, 900, 704?

GCD of 58, 824, 900, 704 is 2

2. Where do I get the detailed procedure to find GCD of 58, 824, 900, 704?

You can find a detailed procedure to find GCD of 58, 824, 900, 704 on our page.

3. How to find GCD of 58, 824, 900, 704 on a calculator?

You can find the GCD of 58, 824, 900, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.