GCD of 478, 602, 66, 829 Calculator

Given Input numbers are 478, 602, 66, 829

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

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 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 478, 602, 66, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 602, 66, 829 is 1.

Therefore, GCD of numbers 478, 602, 66, 829 is 1

Given Input Data is 478, 602, 66, 829

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 829 is 829

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(478, 602) = 143878

GCD(478, 602) = ( 478 x 602 ) / 143878

GCD(478, 602) = 287756 / 143878

GCD(478, 602) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 829

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

LCM(2, 829) = 1658

GCD(2, 829) = ( 2 x 829 ) / 1658

GCD(2, 829) = 1658 / 1658

GCD(2, 829) = 1

GCD of 478, 602, 66, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 135, 14, 143
• GCD of 478, 236, 19, 682
• GCD of 179, 404, 71, 573
• GCD of 524, 792, 67, 246
• GCD of 570, 147, 75, 108

1. What is the GCD of 478, 602, 66, 829?

GCD of 478, 602, 66, 829 is 1

2. Where do I get the detailed procedure to find GCD of 478, 602, 66, 829?

You can find a detailed procedure to find GCD of 478, 602, 66, 829 on our page.

3. How to find GCD of 478, 602, 66, 829 on a calculator?

You can find the GCD of 478, 602, 66, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.