GCD of 654, 618, 25, 882 Calculator

Given Input numbers are 654, 618, 25, 882

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 25

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

1, 5, 25

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

Greatest Common Divisior

We found the divisors of 654, 618, 25, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 618, 25, 882 is 1.

Therefore, GCD of numbers 654, 618, 25, 882 is 1

Given Input Data is 654, 618, 25, 882

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 25 is 5 x 5

Prime Factorization of 882 is 2 x 3 x 3 x 7 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(654, 618) = 67362

GCD(654, 618) = ( 654 x 618 ) / 67362

GCD(654, 618) = 404172 / 67362

GCD(654, 618) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 25

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

LCM(6, 25) = 150

GCD(6, 25) = ( 6 x 25 ) / 150

GCD(6, 25) = 150 / 150

GCD(6, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 882

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

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

GCD(1, 882) = 882 / 882

GCD(1, 882) = 1

GCD of 654, 618, 25, 882 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 664, 491, 12, 973
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• GCD of 605, 735, 86, 863
• GCD of 417, 575, 36, 280

1. What is the GCD of 654, 618, 25, 882?

GCD of 654, 618, 25, 882 is 1

2. Where do I get the detailed procedure to find GCD of 654, 618, 25, 882?

You can find a detailed procedure to find GCD of 654, 618, 25, 882 on our page.

3. How to find GCD of 654, 618, 25, 882 on a calculator?

You can find the GCD of 654, 618, 25, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.