GCD of 429, 404, 152, 735 Calculator

Given Input numbers are 429, 404, 152, 735

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

Divisors of 429

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

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

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 429, 404, 152, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 404, 152, 735 is 1.

Therefore, GCD of numbers 429, 404, 152, 735 is 1

Given Input Data is 429, 404, 152, 735

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 735 is 3 x 5 x 7 x 7

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(429, 404) = 173316

GCD(429, 404) = ( 429 x 404 ) / 173316

GCD(429, 404) = 173316 / 173316

GCD(429, 404) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 429, 404, 152, 735 is 1

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1. What is the GCD of 429, 404, 152, 735?

GCD of 429, 404, 152, 735 is 1

2. Where do I get the detailed procedure to find GCD of 429, 404, 152, 735?

You can find a detailed procedure to find GCD of 429, 404, 152, 735 on our page.

3. How to find GCD of 429, 404, 152, 735 on a calculator?

You can find the GCD of 429, 404, 152, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.