GCD of 702, 621, 771, 918 Calculator

Given Input numbers are 702, 621, 771, 918

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 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 702, 621, 771, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 621, 771, 918 is 3.

Therefore, GCD of numbers 702, 621, 771, 918 is 3

Given Input Data is 702, 621, 771, 918

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 621 is 3 x 3 x 3 x 23

Prime Factorization of 771 is 3 x 257

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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, 621) = 16146

GCD(702, 621) = ( 702 x 621 ) / 16146

GCD(702, 621) = 435942 / 16146

GCD(702, 621) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 771

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

LCM(27, 771) = 6939

GCD(27, 771) = ( 27 x 771 ) / 6939

GCD(27, 771) = 20817 / 6939

GCD(27, 771) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 918

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

LCM(3, 918) = 918

GCD(3, 918) = ( 3 x 918 ) / 918

GCD(3, 918) = 2754 / 918

GCD(3, 918) = 3

GCD of 702, 621, 771, 918 is 3

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1. What is the GCD of 702, 621, 771, 918?

GCD of 702, 621, 771, 918 is 3

2. Where do I get the detailed procedure to find GCD of 702, 621, 771, 918?

You can find a detailed procedure to find GCD of 702, 621, 771, 918 on our page.

3. How to find GCD of 702, 621, 771, 918 on a calculator?

You can find the GCD of 702, 621, 771, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.