GCD of 702, 429, 27 Calculator

Given Input numbers are 702, 429, 27

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

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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 27

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

1, 3, 9, 27

Greatest Common Divisior

We found the divisors of 702, 429, 27 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 429, 27 is 3.

Therefore, GCD of numbers 702, 429, 27 is 3

Given Input Data is 702, 429, 27

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 27 is 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(702, 429) = 7722

GCD(702, 429) = ( 702 x 429 ) / 7722

GCD(702, 429) = 301158 / 7722

GCD(702, 429) = 39

Step2:

Here we consider the GCD from the above i.e. 39 as first number and the next as 27

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

LCM(39, 27) = 351

GCD(39, 27) = ( 39 x 27 ) / 351

GCD(39, 27) = 1053 / 351

GCD(39, 27) = 3

GCD of 702, 429, 27 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 676, 39
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• GCD of 277, 333, 58
• GCD of 373, 972, 52
• GCD of 859, 190, 27

1. What is the GCD of 702, 429, 27?

GCD of 702, 429, 27 is 3

2. Where do I get the detailed procedure to find GCD of 702, 429, 27?

You can find a detailed procedure to find GCD of 702, 429, 27 on our page.

3. How to find GCD of 702, 429, 27 on a calculator?

You can find the GCD of 702, 429, 27 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.