GCD of 579, 825, 22, 700 Calculator

Given Input numbers are 579, 825, 22, 700

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

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 579, 825, 22, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 579, 825, 22, 700 is 1.

Therefore, GCD of numbers 579, 825, 22, 700 is 1

Given Input Data is 579, 825, 22, 700

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

Prime Factorization of 579 is 3 x 193

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 22 is 2 x 11

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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(579, 825) = 159225

GCD(579, 825) = ( 579 x 825 ) / 159225

GCD(579, 825) = 477675 / 159225

GCD(579, 825) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 22

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

LCM(3, 22) = 66

GCD(3, 22) = ( 3 x 22 ) / 66

GCD(3, 22) = 66 / 66

GCD(3, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 579, 825, 22, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 660, 851, 17, 452
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• GCD of 756, 354, 98, 467

1. What is the GCD of 579, 825, 22, 700?

GCD of 579, 825, 22, 700 is 1

2. Where do I get the detailed procedure to find GCD of 579, 825, 22, 700?

You can find a detailed procedure to find GCD of 579, 825, 22, 700 on our page.

3. How to find GCD of 579, 825, 22, 700 on a calculator?

You can find the GCD of 579, 825, 22, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.