GCD of 66, 531, 357, 699 Calculator

Given Input numbers are 66, 531, 357, 699

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 66, 531, 357, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 531, 357, 699 is 3.

Therefore, GCD of numbers 66, 531, 357, 699 is 3

Given Input Data is 66, 531, 357, 699

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 699 is 3 x 233

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(66, 531) = 11682

GCD(66, 531) = ( 66 x 531 ) / 11682

GCD(66, 531) = 35046 / 11682

GCD(66, 531) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 357

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

LCM(3, 357) = 357

GCD(3, 357) = ( 3 x 357 ) / 357

GCD(3, 357) = 1071 / 357

GCD(3, 357) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 699

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

LCM(3, 699) = 699

GCD(3, 699) = ( 3 x 699 ) / 699

GCD(3, 699) = 2097 / 699

GCD(3, 699) = 3

GCD of 66, 531, 357, 699 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 130, 485, 533
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• GCD of 40, 110, 260, 367

1. What is the GCD of 66, 531, 357, 699?

GCD of 66, 531, 357, 699 is 3

2. Where do I get the detailed procedure to find GCD of 66, 531, 357, 699?

You can find a detailed procedure to find GCD of 66, 531, 357, 699 on our page.

3. How to find GCD of 66, 531, 357, 699 on a calculator?

You can find the GCD of 66, 531, 357, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.