GCD of 828, 907, 802, 723 Calculator

Given Input numbers are 828, 907, 802, 723

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 828, 907, 802, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 907, 802, 723 is 1.

Therefore, GCD of numbers 828, 907, 802, 723 is 1

Given Input Data is 828, 907, 802, 723

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 907 is 907

Prime Factorization of 802 is 2 x 401

Prime Factorization of 723 is 3 x 241

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(828, 907) = 750996

GCD(828, 907) = ( 828 x 907 ) / 750996

GCD(828, 907) = 750996 / 750996

GCD(828, 907) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 828, 907, 802, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 874, 606, 670, 336
• GCD of 464, 517, 844, 101
• GCD of 391, 944, 734, 947
• GCD of 900, 810, 317, 987
• GCD of 246, 570, 551, 888

1. What is the GCD of 828, 907, 802, 723?

GCD of 828, 907, 802, 723 is 1

2. Where do I get the detailed procedure to find GCD of 828, 907, 802, 723?

You can find a detailed procedure to find GCD of 828, 907, 802, 723 on our page.

3. How to find GCD of 828, 907, 802, 723 on a calculator?

You can find the GCD of 828, 907, 802, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.