GCD of 633, 575, 828, 661 Calculator

Given Input numbers are 633, 575, 828, 661

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

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

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 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 633, 575, 828, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 633, 575, 828, 661 is 1.

Therefore, GCD of numbers 633, 575, 828, 661 is 1

Given Input Data is 633, 575, 828, 661

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

Prime Factorization of 633 is 3 x 211

Prime Factorization of 575 is 5 x 5 x 23

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

Prime Factorization of 661 is 661

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(633, 575) = 363975

GCD(633, 575) = ( 633 x 575 ) / 363975

GCD(633, 575) = 363975 / 363975

GCD(633, 575) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

GCD of 633, 575, 828, 661 is 1

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1. What is the GCD of 633, 575, 828, 661?

GCD of 633, 575, 828, 661 is 1

2. Where do I get the detailed procedure to find GCD of 633, 575, 828, 661?

You can find a detailed procedure to find GCD of 633, 575, 828, 661 on our page.

3. How to find GCD of 633, 575, 828, 661 on a calculator?

You can find the GCD of 633, 575, 828, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.