GCD of 429, 759, 453, 186 Calculator

Given Input numbers are 429, 759, 453, 186

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 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Greatest Common Divisior

We found the divisors of 429, 759, 453, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 759, 453, 186 is 3.

Therefore, GCD of numbers 429, 759, 453, 186 is 3

Given Input Data is 429, 759, 453, 186

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 759 is 3 x 11 x 23

Prime Factorization of 453 is 3 x 151

Prime Factorization of 186 is 2 x 3 x 31

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(429, 759) = 9867

GCD(429, 759) = ( 429 x 759 ) / 9867

GCD(429, 759) = 325611 / 9867

GCD(429, 759) = 33

Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 453

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

LCM(33, 453) = 4983

GCD(33, 453) = ( 33 x 453 ) / 4983

GCD(33, 453) = 14949 / 4983

GCD(33, 453) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 186

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

LCM(3, 186) = 186

GCD(3, 186) = ( 3 x 186 ) / 186

GCD(3, 186) = 558 / 186

GCD(3, 186) = 3

GCD of 429, 759, 453, 186 is 3

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1. What is the GCD of 429, 759, 453, 186?

GCD of 429, 759, 453, 186 is 3

2. Where do I get the detailed procedure to find GCD of 429, 759, 453, 186?

You can find a detailed procedure to find GCD of 429, 759, 453, 186 on our page.

3. How to find GCD of 429, 759, 453, 186 on a calculator?

You can find the GCD of 429, 759, 453, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.