GCD of 914, 946, 355, 586 Calculator

Given Input numbers are 914, 946, 355, 586

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 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 914, 946, 355, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 946, 355, 586 is 1.

Therefore, GCD of numbers 914, 946, 355, 586 is 1

Given Input Data is 914, 946, 355, 586

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 355 is 5 x 71

Prime Factorization of 586 is 2 x 293

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, 946) = 432322

GCD(914, 946) = ( 914 x 946 ) / 432322

GCD(914, 946) = 864644 / 432322

GCD(914, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 355

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

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

GCD(2, 355) = 710 / 710

GCD(2, 355) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 914, 946, 355, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 586, 661, 653
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• GCD of 122, 300, 301, 364
• GCD of 208, 701, 278, 862
• GCD of 616, 724, 473, 955

1. What is the GCD of 914, 946, 355, 586?

GCD of 914, 946, 355, 586 is 1

2. Where do I get the detailed procedure to find GCD of 914, 946, 355, 586?

You can find a detailed procedure to find GCD of 914, 946, 355, 586 on our page.

3. How to find GCD of 914, 946, 355, 586 on a calculator?

You can find the GCD of 914, 946, 355, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.