GCD of 822, 177, 700, 612 Calculator

Given Input numbers are 822, 177, 700, 612

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 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 822, 177, 700, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 177, 700, 612 is 1.

Therefore, GCD of numbers 822, 177, 700, 612 is 1

Given Input Data is 822, 177, 700, 612

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 177 is 3 x 59

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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, 177) = 48498

GCD(822, 177) = ( 822 x 177 ) / 48498

GCD(822, 177) = 145494 / 48498

GCD(822, 177) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 700

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

LCM(3, 700) = 2100

GCD(3, 700) = ( 3 x 700 ) / 2100

GCD(3, 700) = 2100 / 2100

GCD(3, 700) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

GCD of 822, 177, 700, 612 is 1

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1. What is the GCD of 822, 177, 700, 612?

GCD of 822, 177, 700, 612 is 1

2. Where do I get the detailed procedure to find GCD of 822, 177, 700, 612?

You can find a detailed procedure to find GCD of 822, 177, 700, 612 on our page.

3. How to find GCD of 822, 177, 700, 612 on a calculator?

You can find the GCD of 822, 177, 700, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.