GCD of 429, 243, 218, 948 Calculator

Given Input numbers are 429, 243, 218, 948

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 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 429, 243, 218, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 243, 218, 948 is 1.

Therefore, GCD of numbers 429, 243, 218, 948 is 1

Given Input Data is 429, 243, 218, 948

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 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 218 is 2 x 109

Prime Factorization of 948 is 2 x 2 x 3 x 79

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, 243) = 34749

GCD(429, 243) = ( 429 x 243 ) / 34749

GCD(429, 243) = 104247 / 34749

GCD(429, 243) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 218

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

LCM(3, 218) = 654

GCD(3, 218) = ( 3 x 218 ) / 654

GCD(3, 218) = 654 / 654

GCD(3, 218) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

GCD of 429, 243, 218, 948 is 1

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1. What is the GCD of 429, 243, 218, 948?

GCD of 429, 243, 218, 948 is 1

2. Where do I get the detailed procedure to find GCD of 429, 243, 218, 948?

You can find a detailed procedure to find GCD of 429, 243, 218, 948 on our page.

3. How to find GCD of 429, 243, 218, 948 on a calculator?

You can find the GCD of 429, 243, 218, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.