GCD of 699, 648, 29, 250 Calculator

Given Input numbers are 699, 648, 29, 250

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 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Greatest Common Divisior

We found the divisors of 699, 648, 29, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 648, 29, 250 is 1.

Therefore, GCD of numbers 699, 648, 29, 250 is 1

Given Input Data is 699, 648, 29, 250

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 29 is 29

Prime Factorization of 250 is 2 x 5 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

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, 648) = 150984

GCD(699, 648) = ( 699 x 648 ) / 150984

GCD(699, 648) = 452952 / 150984

GCD(699, 648) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 29

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

LCM(3, 29) = 87

GCD(3, 29) = ( 3 x 29 ) / 87

GCD(3, 29) = 87 / 87

GCD(3, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 250

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

LCM(1, 250) = 250

GCD(1, 250) = ( 1 x 250 ) / 250

GCD(1, 250) = 250 / 250

GCD(1, 250) = 1

GCD of 699, 648, 29, 250 is 1

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1. What is the GCD of 699, 648, 29, 250?

GCD of 699, 648, 29, 250 is 1

2. Where do I get the detailed procedure to find GCD of 699, 648, 29, 250?

You can find a detailed procedure to find GCD of 699, 648, 29, 250 on our page.

3. How to find GCD of 699, 648, 29, 250 on a calculator?

You can find the GCD of 699, 648, 29, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.