GCD of 25, 670, 882, 209 Calculator

Given Input numbers are 25, 670, 882, 209

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

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 25, 670, 882, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 670, 882, 209 is 1.

Therefore, GCD of numbers 25, 670, 882, 209 is 1

Given Input Data is 25, 670, 882, 209

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 209 is 11 x 19

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(25, 670) = 3350

GCD(25, 670) = ( 25 x 670 ) / 3350

GCD(25, 670) = 16750 / 3350

GCD(25, 670) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 882

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

LCM(5, 882) = 4410

GCD(5, 882) = ( 5 x 882 ) / 4410

GCD(5, 882) = 4410 / 4410

GCD(5, 882) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

GCD of 25, 670, 882, 209 is 1

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1. What is the GCD of 25, 670, 882, 209?

GCD of 25, 670, 882, 209 is 1

2. Where do I get the detailed procedure to find GCD of 25, 670, 882, 209?

You can find a detailed procedure to find GCD of 25, 670, 882, 209 on our page.

3. How to find GCD of 25, 670, 882, 209 on a calculator?

You can find the GCD of 25, 670, 882, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.