GCD of 657, 504, 83, 533 Calculator

Given Input numbers are 657, 504, 83, 533

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Greatest Common Divisior

We found the divisors of 657, 504, 83, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 504, 83, 533 is 1.

Therefore, GCD of numbers 657, 504, 83, 533 is 1

Given Input Data is 657, 504, 83, 533

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 83 is 83

Prime Factorization of 533 is 13 x 41

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(657, 504) = 36792

GCD(657, 504) = ( 657 x 504 ) / 36792

GCD(657, 504) = 331128 / 36792

GCD(657, 504) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 83

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

LCM(9, 83) = 747

GCD(9, 83) = ( 9 x 83 ) / 747

GCD(9, 83) = 747 / 747

GCD(9, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 533

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

LCM(1, 533) = 533

GCD(1, 533) = ( 1 x 533 ) / 533

GCD(1, 533) = 533 / 533

GCD(1, 533) = 1

GCD of 657, 504, 83, 533 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 911, 742, 45, 552
• GCD of 511, 836, 99, 232
• GCD of 222, 671, 29, 319
• GCD of 847, 455, 60, 302
• GCD of 944, 953, 98, 689

1. What is the GCD of 657, 504, 83, 533?

GCD of 657, 504, 83, 533 is 1

2. Where do I get the detailed procedure to find GCD of 657, 504, 83, 533?

You can find a detailed procedure to find GCD of 657, 504, 83, 533 on our page.

3. How to find GCD of 657, 504, 83, 533 on a calculator?

You can find the GCD of 657, 504, 83, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.