GCD of 914, 846, 42, 353 Calculator

Given Input numbers are 914, 846, 42, 353

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 914, 846, 42, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 846, 42, 353 is 1.

Therefore, GCD of numbers 914, 846, 42, 353 is 1

Given Input Data is 914, 846, 42, 353

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 353 is 353

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(914, 846) = 386622

GCD(914, 846) = ( 914 x 846 ) / 386622

GCD(914, 846) = 773244 / 386622

GCD(914, 846) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 353

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

LCM(2, 353) = 706

GCD(2, 353) = ( 2 x 353 ) / 706

GCD(2, 353) = 706 / 706

GCD(2, 353) = 1

GCD of 914, 846, 42, 353 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 143, 91, 584
• GCD of 222, 182, 74, 838
• GCD of 766, 554, 45, 489
• GCD of 416, 567, 31, 165
• GCD of 147, 864, 47, 598

1. What is the GCD of 914, 846, 42, 353?

GCD of 914, 846, 42, 353 is 1

2. Where do I get the detailed procedure to find GCD of 914, 846, 42, 353?

You can find a detailed procedure to find GCD of 914, 846, 42, 353 on our page.

3. How to find GCD of 914, 846, 42, 353 on a calculator?

You can find the GCD of 914, 846, 42, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.