GCD of 680, 252, 29, 225 Calculator

Given Input numbers are 680, 252, 29, 225

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 680, 252, 29, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 252, 29, 225 is 1.

Therefore, GCD of numbers 680, 252, 29, 225 is 1

Given Input Data is 680, 252, 29, 225

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 29 is 29

Prime Factorization of 225 is 3 x 3 x 5 x 5

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(680, 252) = 42840

GCD(680, 252) = ( 680 x 252 ) / 42840

GCD(680, 252) = 171360 / 42840

GCD(680, 252) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 29

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

LCM(4, 29) = 116

GCD(4, 29) = ( 4 x 29 ) / 116

GCD(4, 29) = 116 / 116

GCD(4, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 680, 252, 29, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 392, 86, 663
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• GCD of 348, 361, 79, 569
• GCD of 854, 526, 32, 224

1. What is the GCD of 680, 252, 29, 225?

GCD of 680, 252, 29, 225 is 1

2. Where do I get the detailed procedure to find GCD of 680, 252, 29, 225?

You can find a detailed procedure to find GCD of 680, 252, 29, 225 on our page.

3. How to find GCD of 680, 252, 29, 225 on a calculator?

You can find the GCD of 680, 252, 29, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.