GCD of 828, 292, 21, 147 Calculator

Given Input numbers are 828, 292, 21, 147

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 828, 292, 21, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 292, 21, 147 is 1.

Therefore, GCD of numbers 828, 292, 21, 147 is 1

Given Input Data is 828, 292, 21, 147

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 21 is 3 x 7

Prime Factorization of 147 is 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(828, 292) = 60444

GCD(828, 292) = ( 828 x 292 ) / 60444

GCD(828, 292) = 241776 / 60444

GCD(828, 292) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 21

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

LCM(4, 21) = 84

GCD(4, 21) = ( 4 x 21 ) / 84

GCD(4, 21) = 84 / 84

GCD(4, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

GCD of 828, 292, 21, 147 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 679, 589, 46, 459
• GCD of 800, 189, 86, 705
• GCD of 610, 789, 29, 185
• GCD of 436, 958, 45, 152
• GCD of 291, 106, 61, 947

1. What is the GCD of 828, 292, 21, 147?

GCD of 828, 292, 21, 147 is 1

2. Where do I get the detailed procedure to find GCD of 828, 292, 21, 147?

You can find a detailed procedure to find GCD of 828, 292, 21, 147 on our page.

3. How to find GCD of 828, 292, 21, 147 on a calculator?

You can find the GCD of 828, 292, 21, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.