GCD of 828, 553, 403, 977 Calculator

Given Input numbers are 828, 553, 403, 977

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 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 828, 553, 403, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 553, 403, 977 is 1.

Therefore, GCD of numbers 828, 553, 403, 977 is 1

Given Input Data is 828, 553, 403, 977

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 553 is 7 x 79

Prime Factorization of 403 is 13 x 31

Prime Factorization of 977 is 977

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, 553) = 457884

GCD(828, 553) = ( 828 x 553 ) / 457884

GCD(828, 553) = 457884 / 457884

GCD(828, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 403

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

LCM(1, 403) = 403

GCD(1, 403) = ( 1 x 403 ) / 403

GCD(1, 403) = 403 / 403

GCD(1, 403) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

GCD of 828, 553, 403, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 789, 247, 180, 594
• GCD of 747, 404, 796, 426
• GCD of 256, 887, 192, 183
• GCD of 557, 774, 857, 745
• GCD of 554, 735, 733, 639

1. What is the GCD of 828, 553, 403, 977?

GCD of 828, 553, 403, 977 is 1

2. Where do I get the detailed procedure to find GCD of 828, 553, 403, 977?

You can find a detailed procedure to find GCD of 828, 553, 403, 977 on our page.

3. How to find GCD of 828, 553, 403, 977 on a calculator?

You can find the GCD of 828, 553, 403, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.