GCD of 147, 830, 87, 822 Calculator

Given Input numbers are 147, 830, 87, 822

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

Divisors of 147

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

1, 3, 7, 21, 49, 147

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 822

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

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

Greatest Common Divisior

We found the divisors of 147, 830, 87, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 830, 87, 822 is 1.

Therefore, GCD of numbers 147, 830, 87, 822 is 1

Given Input Data is 147, 830, 87, 822

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

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 87 is 3 x 29

Prime Factorization of 822 is 2 x 3 x 137

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(147, 830) = 122010

GCD(147, 830) = ( 147 x 830 ) / 122010

GCD(147, 830) = 122010 / 122010

GCD(147, 830) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 147, 830, 87, 822 is 1

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1. What is the GCD of 147, 830, 87, 822?

GCD of 147, 830, 87, 822 is 1

2. Where do I get the detailed procedure to find GCD of 147, 830, 87, 822?

You can find a detailed procedure to find GCD of 147, 830, 87, 822 on our page.

3. How to find GCD of 147, 830, 87, 822 on a calculator?

You can find the GCD of 147, 830, 87, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.