GCD of 822, 848, 25, 675 Calculator

Given Input numbers are 822, 848, 25, 675

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

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 25

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

1, 5, 25

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 822, 848, 25, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 848, 25, 675 is 1.

Therefore, GCD of numbers 822, 848, 25, 675 is 1

Given Input Data is 822, 848, 25, 675

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 25 is 5 x 5

Prime Factorization of 675 is 3 x 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(822, 848) = 348528

GCD(822, 848) = ( 822 x 848 ) / 348528

GCD(822, 848) = 697056 / 348528

GCD(822, 848) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 822, 848, 25, 675 is 1

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• GCD of 159, 320, 72, 134
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1. What is the GCD of 822, 848, 25, 675?

GCD of 822, 848, 25, 675 is 1

2. Where do I get the detailed procedure to find GCD of 822, 848, 25, 675?

You can find a detailed procedure to find GCD of 822, 848, 25, 675 on our page.

3. How to find GCD of 822, 848, 25, 675 on a calculator?

You can find the GCD of 822, 848, 25, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.