GCD of 699, 399, 249, 945 Calculator

Given Input numbers are 699, 399, 249, 945

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 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 699, 399, 249, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 399, 249, 945 is 3.

Therefore, GCD of numbers 699, 399, 249, 945 is 3

Given Input Data is 699, 399, 249, 945

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 249 is 3 x 83

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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, 399) = 92967

GCD(699, 399) = ( 699 x 399 ) / 92967

GCD(699, 399) = 278901 / 92967

GCD(699, 399) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 249

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

LCM(3, 249) = 249

GCD(3, 249) = ( 3 x 249 ) / 249

GCD(3, 249) = 747 / 249

GCD(3, 249) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 945

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

LCM(3, 945) = 945

GCD(3, 945) = ( 3 x 945 ) / 945

GCD(3, 945) = 2835 / 945

GCD(3, 945) = 3

GCD of 699, 399, 249, 945 is 3

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1. What is the GCD of 699, 399, 249, 945?

GCD of 699, 399, 249, 945 is 3

2. Where do I get the detailed procedure to find GCD of 699, 399, 249, 945?

You can find a detailed procedure to find GCD of 699, 399, 249, 945 on our page.

3. How to find GCD of 699, 399, 249, 945 on a calculator?

You can find the GCD of 699, 399, 249, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.