GCD of 658, 550, 84, 825 Calculator

Given Input numbers are 658, 550, 84, 825

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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

Greatest Common Divisior

We found the divisors of 658, 550, 84, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 550, 84, 825 is 1.

Therefore, GCD of numbers 658, 550, 84, 825 is 1

Given Input Data is 658, 550, 84, 825

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 84 is 2 x 2 x 3 x 7

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

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(658, 550) = 180950

GCD(658, 550) = ( 658 x 550 ) / 180950

GCD(658, 550) = 361900 / 180950

GCD(658, 550) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 825

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

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

GCD(2, 825) = 1650 / 1650

GCD(2, 825) = 1

GCD of 658, 550, 84, 825 is 1

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1. What is the GCD of 658, 550, 84, 825?

GCD of 658, 550, 84, 825 is 1

2. Where do I get the detailed procedure to find GCD of 658, 550, 84, 825?

You can find a detailed procedure to find GCD of 658, 550, 84, 825 on our page.

3. How to find GCD of 658, 550, 84, 825 on a calculator?

You can find the GCD of 658, 550, 84, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.