GCD of 942, 456, 57, 729 Calculator

Given Input numbers are 942, 456, 57, 729

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

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Greatest Common Divisior

We found the divisors of 942, 456, 57, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 456, 57, 729 is 3.

Therefore, GCD of numbers 942, 456, 57, 729 is 3

Given Input Data is 942, 456, 57, 729

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

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 57 is 3 x 19

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

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(942, 456) = 71592

GCD(942, 456) = ( 942 x 456 ) / 71592

GCD(942, 456) = 429552 / 71592

GCD(942, 456) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 57

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

LCM(6, 57) = 114

GCD(6, 57) = ( 6 x 57 ) / 114

GCD(6, 57) = 342 / 114

GCD(6, 57) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 729

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

LCM(3, 729) = 729

GCD(3, 729) = ( 3 x 729 ) / 729

GCD(3, 729) = 2187 / 729

GCD(3, 729) = 3

GCD of 942, 456, 57, 729 is 3

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• GCD of 748, 551, 58, 815

1. What is the GCD of 942, 456, 57, 729?

GCD of 942, 456, 57, 729 is 3

2. Where do I get the detailed procedure to find GCD of 942, 456, 57, 729?

You can find a detailed procedure to find GCD of 942, 456, 57, 729 on our page.

3. How to find GCD of 942, 456, 57, 729 on a calculator?

You can find the GCD of 942, 456, 57, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.