GCD of 69, 402, 990, 838 Calculator

Given Input numbers are 69, 402, 990, 838

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 69, 402, 990, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 402, 990, 838 is 1.

Therefore, GCD of numbers 69, 402, 990, 838 is 1

Given Input Data is 69, 402, 990, 838

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 838 is 2 x 419

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(69, 402) = 9246

GCD(69, 402) = ( 69 x 402 ) / 9246

GCD(69, 402) = 27738 / 9246

GCD(69, 402) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 990

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

LCM(3, 990) = 990

GCD(3, 990) = ( 3 x 990 ) / 990

GCD(3, 990) = 2970 / 990

GCD(3, 990) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 838

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

LCM(3, 838) = 2514

GCD(3, 838) = ( 3 x 838 ) / 2514

GCD(3, 838) = 2514 / 2514

GCD(3, 838) = 1

GCD of 69, 402, 990, 838 is 1

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1. What is the GCD of 69, 402, 990, 838?

GCD of 69, 402, 990, 838 is 1

2. Where do I get the detailed procedure to find GCD of 69, 402, 990, 838?

You can find a detailed procedure to find GCD of 69, 402, 990, 838 on our page.

3. How to find GCD of 69, 402, 990, 838 on a calculator?

You can find the GCD of 69, 402, 990, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.