GCD of 27, 516, 946, 429 Calculator

Given Input numbers are 27, 516, 946, 429

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

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

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 27, 516, 946, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 27, 516, 946, 429 is 1.

Therefore, GCD of numbers 27, 516, 946, 429 is 1

Given Input Data is 27, 516, 946, 429

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

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 946 is 2 x 11 x 43

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(27, 516) = 4644

GCD(27, 516) = ( 27 x 516 ) / 4644

GCD(27, 516) = 13932 / 4644

GCD(27, 516) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 946

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

LCM(3, 946) = 2838

GCD(3, 946) = ( 3 x 946 ) / 2838

GCD(3, 946) = 2838 / 2838

GCD(3, 946) = 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 27, 516, 946, 429 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 468, 285, 681
• GCD of 85, 632, 678, 911
• GCD of 43, 305, 364, 806
• GCD of 19, 744, 189, 433
• GCD of 10, 136, 752, 171

1. What is the GCD of 27, 516, 946, 429?

GCD of 27, 516, 946, 429 is 1

2. Where do I get the detailed procedure to find GCD of 27, 516, 946, 429?

You can find a detailed procedure to find GCD of 27, 516, 946, 429 on our page.

3. How to find GCD of 27, 516, 946, 429 on a calculator?

You can find the GCD of 27, 516, 946, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.