GCD of 758, 704, 734, 822 Calculator

Given Input numbers are 758, 704, 734, 822

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

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

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 758, 704, 734, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 704, 734, 822 is 2.

Therefore, GCD of numbers 758, 704, 734, 822 is 2

Given Input Data is 758, 704, 734, 822

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

Prime Factorization of 758 is 2 x 379

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 734 is 2 x 367

Prime Factorization of 822 is 2 x 3 x 137

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(758, 704) = 266816

GCD(758, 704) = ( 758 x 704 ) / 266816

GCD(758, 704) = 533632 / 266816

GCD(758, 704) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 734

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

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

GCD(2, 734) = 1468 / 734

GCD(2, 734) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 822

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

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

GCD(2, 822) = 1644 / 822

GCD(2, 822) = 2

GCD of 758, 704, 734, 822 is 2

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1. What is the GCD of 758, 704, 734, 822?

GCD of 758, 704, 734, 822 is 2

2. Where do I get the detailed procedure to find GCD of 758, 704, 734, 822?

You can find a detailed procedure to find GCD of 758, 704, 734, 822 on our page.

3. How to find GCD of 758, 704, 734, 822 on a calculator?

You can find the GCD of 758, 704, 734, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.