GCD of 415, 553, 966, 828 Calculator

Given Input numbers are 415, 553, 966, 828

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

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 553

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

1, 7, 79, 553

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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

Greatest Common Divisior

We found the divisors of 415, 553, 966, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 415, 553, 966, 828 is 1.

Therefore, GCD of numbers 415, 553, 966, 828 is 1

Given Input Data is 415, 553, 966, 828

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

Prime Factorization of 415 is 5 x 83

Prime Factorization of 553 is 7 x 79

Prime Factorization of 966 is 2 x 3 x 7 x 23

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

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(415, 553) = 229495

GCD(415, 553) = ( 415 x 553 ) / 229495

GCD(415, 553) = 229495 / 229495

GCD(415, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 415, 553, 966, 828 is 1

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1. What is the GCD of 415, 553, 966, 828?

GCD of 415, 553, 966, 828 is 1

2. Where do I get the detailed procedure to find GCD of 415, 553, 966, 828?

You can find a detailed procedure to find GCD of 415, 553, 966, 828 on our page.

3. How to find GCD of 415, 553, 966, 828 on a calculator?

You can find the GCD of 415, 553, 966, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.