GCD of 252, 693, 84, 927 Calculator

Given Input numbers are 252, 693, 84, 927

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Greatest Common Divisior

We found the divisors of 252, 693, 84, 927 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 693, 84, 927 is 3.

Therefore, GCD of numbers 252, 693, 84, 927 is 3

Given Input Data is 252, 693, 84, 927

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 927 is 3 x 3 x 103

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(252, 693) = 2772

GCD(252, 693) = ( 252 x 693 ) / 2772

GCD(252, 693) = 174636 / 2772

GCD(252, 693) = 63

Step2:

Here we consider the GCD from the above i.e. 63 as first number and the next as 84

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

LCM(63, 84) = 252

GCD(63, 84) = ( 63 x 84 ) / 252

GCD(63, 84) = 5292 / 252

GCD(63, 84) = 21

Step3:

Here we consider the GCD from the above i.e. 21 as first number and the next as 927

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

LCM(21, 927) = 6489

GCD(21, 927) = ( 21 x 927 ) / 6489

GCD(21, 927) = 19467 / 6489

GCD(21, 927) = 3

GCD of 252, 693, 84, 927 is 3

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1. What is the GCD of 252, 693, 84, 927?

GCD of 252, 693, 84, 927 is 3

2. Where do I get the detailed procedure to find GCD of 252, 693, 84, 927?

You can find a detailed procedure to find GCD of 252, 693, 84, 927 on our page.

3. How to find GCD of 252, 693, 84, 927 on a calculator?

You can find the GCD of 252, 693, 84, 927 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.