GCD of 717, 762, 822, 378 Calculator

Given Input numbers are 717, 762, 822, 378

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

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

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 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 717, 762, 822, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 762, 822, 378 is 3.

Therefore, GCD of numbers 717, 762, 822, 378 is 3

Given Input Data is 717, 762, 822, 378

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(717, 762) = 182118

GCD(717, 762) = ( 717 x 762 ) / 182118

GCD(717, 762) = 546354 / 182118

GCD(717, 762) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 822

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

LCM(3, 822) = 822

GCD(3, 822) = ( 3 x 822 ) / 822

GCD(3, 822) = 2466 / 822

GCD(3, 822) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 378

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

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

GCD(3, 378) = 1134 / 378

GCD(3, 378) = 3

GCD of 717, 762, 822, 378 is 3

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1. What is the GCD of 717, 762, 822, 378?

GCD of 717, 762, 822, 378 is 3

2. Where do I get the detailed procedure to find GCD of 717, 762, 822, 378?

You can find a detailed procedure to find GCD of 717, 762, 822, 378 on our page.

3. How to find GCD of 717, 762, 822, 378 on a calculator?

You can find the GCD of 717, 762, 822, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.