GCD of 921, 830, 959, 344 Calculator

Given Input numbers are 921, 830, 959, 344

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

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 344

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

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

Greatest Common Divisior

We found the divisors of 921, 830, 959, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 830, 959, 344 is 1.

Therefore, GCD of numbers 921, 830, 959, 344 is 1

Given Input Data is 921, 830, 959, 344

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

Prime Factorization of 921 is 3 x 307

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 959 is 7 x 137

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

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(921, 830) = 764430

GCD(921, 830) = ( 921 x 830 ) / 764430

GCD(921, 830) = 764430 / 764430

GCD(921, 830) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 921, 830, 959, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 735, 527, 793, 473
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1. What is the GCD of 921, 830, 959, 344?

GCD of 921, 830, 959, 344 is 1

2. Where do I get the detailed procedure to find GCD of 921, 830, 959, 344?

You can find a detailed procedure to find GCD of 921, 830, 959, 344 on our page.

3. How to find GCD of 921, 830, 959, 344 on a calculator?

You can find the GCD of 921, 830, 959, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.