GCD of 804, 834, 749, 702 Calculator

Given Input numbers are 804, 834, 749, 702

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

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

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 804, 834, 749, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 834, 749, 702 is 1.

Therefore, GCD of numbers 804, 834, 749, 702 is 1

Given Input Data is 804, 834, 749, 702

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

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

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 749 is 7 x 107

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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(804, 834) = 111756

GCD(804, 834) = ( 804 x 834 ) / 111756

GCD(804, 834) = 670536 / 111756

GCD(804, 834) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 749

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

LCM(6, 749) = 4494

GCD(6, 749) = ( 6 x 749 ) / 4494

GCD(6, 749) = 4494 / 4494

GCD(6, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 804, 834, 749, 702 is 1

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1. What is the GCD of 804, 834, 749, 702?

GCD of 804, 834, 749, 702 is 1

2. Where do I get the detailed procedure to find GCD of 804, 834, 749, 702?

You can find a detailed procedure to find GCD of 804, 834, 749, 702 on our page.

3. How to find GCD of 804, 834, 749, 702 on a calculator?

You can find the GCD of 804, 834, 749, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.