GCD of 344, 930, 690, 827 Calculator

Given Input numbers are 344, 930, 690, 827

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

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 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 344, 930, 690, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 930, 690, 827 is 1.

Therefore, GCD of numbers 344, 930, 690, 827 is 1

Given Input Data is 344, 930, 690, 827

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 930 is 2 x 3 x 5 x 31

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

Prime Factorization of 827 is 827

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(344, 930) = 159960

GCD(344, 930) = ( 344 x 930 ) / 159960

GCD(344, 930) = 319920 / 159960

GCD(344, 930) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 690

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

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

GCD(2, 690) = 1380 / 690

GCD(2, 690) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 827

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

LCM(2, 827) = 1654

GCD(2, 827) = ( 2 x 827 ) / 1654

GCD(2, 827) = 1654 / 1654

GCD(2, 827) = 1

GCD of 344, 930, 690, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 507, 707, 432
• GCD of 804, 770, 889, 393
• GCD of 381, 533, 582, 991
• GCD of 890, 726, 865, 629
• GCD of 877, 891, 974, 351

1. What is the GCD of 344, 930, 690, 827?

GCD of 344, 930, 690, 827 is 1

2. Where do I get the detailed procedure to find GCD of 344, 930, 690, 827?

You can find a detailed procedure to find GCD of 344, 930, 690, 827 on our page.

3. How to find GCD of 344, 930, 690, 827 on a calculator?

You can find the GCD of 344, 930, 690, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.