GCD of 302, 657, 32, 429 Calculator

Given Input numbers are 302, 657, 32, 429

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 657

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

1, 3, 9, 73, 219, 657

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Greatest Common Divisior

We found the divisors of 302, 657, 32, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 657, 32, 429 is 1.

Therefore, GCD of numbers 302, 657, 32, 429 is 1

Given Input Data is 302, 657, 32, 429

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 429 is 3 x 11 x 13

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(302, 657) = 198414

GCD(302, 657) = ( 302 x 657 ) / 198414

GCD(302, 657) = 198414 / 198414

GCD(302, 657) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 429

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

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

GCD(1, 429) = 429 / 429

GCD(1, 429) = 1

GCD of 302, 657, 32, 429 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 220, 14, 209
• GCD of 306, 341, 62, 624
• GCD of 555, 415, 22, 723
• GCD of 462, 395, 57, 467
• GCD of 743, 339, 68, 451

1. What is the GCD of 302, 657, 32, 429?

GCD of 302, 657, 32, 429 is 1

2. Where do I get the detailed procedure to find GCD of 302, 657, 32, 429?

You can find a detailed procedure to find GCD of 302, 657, 32, 429 on our page.

3. How to find GCD of 302, 657, 32, 429 on a calculator?

You can find the GCD of 302, 657, 32, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.