GCD of 699, 525, 84, 927 Calculator

Given Input numbers are 699, 525, 84, 927

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

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 699, 525, 84, 927 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 525, 84, 927 is 3.

Therefore, GCD of numbers 699, 525, 84, 927 is 3

Given Input Data is 699, 525, 84, 927

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 525 is 3 x 5 x 5 x 7

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(699, 525) = 122325

GCD(699, 525) = ( 699 x 525 ) / 122325

GCD(699, 525) = 366975 / 122325

GCD(699, 525) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 84

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

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

GCD(3, 84) = 252 / 84

GCD(3, 84) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 927

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

LCM(3, 927) = 927

GCD(3, 927) = ( 3 x 927 ) / 927

GCD(3, 927) = 2781 / 927

GCD(3, 927) = 3

GCD of 699, 525, 84, 927 is 3

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1. What is the GCD of 699, 525, 84, 927?

GCD of 699, 525, 84, 927 is 3

2. Where do I get the detailed procedure to find GCD of 699, 525, 84, 927?

You can find a detailed procedure to find GCD of 699, 525, 84, 927 on our page.

3. How to find GCD of 699, 525, 84, 927 on a calculator?

You can find the GCD of 699, 525, 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.