GCD of 690, 299, 23, 874 Calculator

Given Input numbers are 690, 299, 23, 874

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 690, 299, 23, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 299, 23, 874 is 23.

Therefore, GCD of numbers 690, 299, 23, 874 is 23

Given Input Data is 690, 299, 23, 874

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 299 is 13 x 23

Prime Factorization of 23 is 23

Prime Factorization of 874 is 2 x 19 x 23

Highest common occurrences in the given inputs are 23¹

Multiplying them we get the GCD as 23

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(690, 299) = 8970

GCD(690, 299) = ( 690 x 299 ) / 8970

GCD(690, 299) = 206310 / 8970

GCD(690, 299) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 23

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

LCM(23, 23) = 23

GCD(23, 23) = ( 23 x 23 ) / 23

GCD(23, 23) = 529 / 23

GCD(23, 23) = 23

Step3:

Here we consider the GCD from the above i.e. 23 as first number and the next as 874

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

LCM(23, 874) = 874

GCD(23, 874) = ( 23 x 874 ) / 874

GCD(23, 874) = 20102 / 874

GCD(23, 874) = 23

GCD of 690, 299, 23, 874 is 23

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1. What is the GCD of 690, 299, 23, 874?

GCD of 690, 299, 23, 874 is 23

2. Where do I get the detailed procedure to find GCD of 690, 299, 23, 874?

You can find a detailed procedure to find GCD of 690, 299, 23, 874 on our page.

3. How to find GCD of 690, 299, 23, 874 on a calculator?

You can find the GCD of 690, 299, 23, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.