GCD of 804, 922, 49, 526 Calculator

Given Input numbers are 804, 922, 49, 526

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 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Greatest Common Divisior

We found the divisors of 804, 922, 49, 526 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 922, 49, 526 is 1.

Therefore, GCD of numbers 804, 922, 49, 526 is 1

Given Input Data is 804, 922, 49, 526

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 922 is 2 x 461

Prime Factorization of 49 is 7 x 7

Prime Factorization of 526 is 2 x 263

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, 922) = 370644

GCD(804, 922) = ( 804 x 922 ) / 370644

GCD(804, 922) = 741288 / 370644

GCD(804, 922) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 526

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

LCM(1, 526) = 526

GCD(1, 526) = ( 1 x 526 ) / 526

GCD(1, 526) = 526 / 526

GCD(1, 526) = 1

GCD of 804, 922, 49, 526 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 618, 130, 96, 757
• GCD of 738, 705, 82, 696
• GCD of 157, 739, 69, 781
• GCD of 987, 173, 82, 507
• GCD of 648, 720, 51, 432

1. What is the GCD of 804, 922, 49, 526?

GCD of 804, 922, 49, 526 is 1

2. Where do I get the detailed procedure to find GCD of 804, 922, 49, 526?

You can find a detailed procedure to find GCD of 804, 922, 49, 526 on our page.

3. How to find GCD of 804, 922, 49, 526 on a calculator?

You can find the GCD of 804, 922, 49, 526 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.