GCD of 710, 776, 694, 804 Calculator

Given Input numbers are 710, 776, 694, 804

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

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Greatest Common Divisior

We found the divisors of 710, 776, 694, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 776, 694, 804 is 2.

Therefore, GCD of numbers 710, 776, 694, 804 is 2

Given Input Data is 710, 776, 694, 804

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

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 694 is 2 x 347

Prime Factorization of 804 is 2 x 2 x 3 x 67

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(710, 776) = 275480

GCD(710, 776) = ( 710 x 776 ) / 275480

GCD(710, 776) = 550960 / 275480

GCD(710, 776) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 694

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

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

GCD(2, 694) = 1388 / 694

GCD(2, 694) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 804

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

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

GCD(2, 804) = 1608 / 804

GCD(2, 804) = 2

GCD of 710, 776, 694, 804 is 2

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1. What is the GCD of 710, 776, 694, 804?

GCD of 710, 776, 694, 804 is 2

2. Where do I get the detailed procedure to find GCD of 710, 776, 694, 804?

You can find a detailed procedure to find GCD of 710, 776, 694, 804 on our page.

3. How to find GCD of 710, 776, 694, 804 on a calculator?

You can find the GCD of 710, 776, 694, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.