GCD of 353, 947, 859, 460 Calculator

Given Input numbers are 353, 947, 859, 460

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

Divisors of 353

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

1, 353

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 353, 947, 859, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 947, 859, 460 is 1.

Therefore, GCD of numbers 353, 947, 859, 460 is 1

Given Input Data is 353, 947, 859, 460

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

Prime Factorization of 353 is 353

Prime Factorization of 947 is 947

Prime Factorization of 859 is 859

Prime Factorization of 460 is 2 x 2 x 5 x 23

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(353, 947) = 334291

GCD(353, 947) = ( 353 x 947 ) / 334291

GCD(353, 947) = 334291 / 334291

GCD(353, 947) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 859

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

LCM(1, 859) = 859

GCD(1, 859) = ( 1 x 859 ) / 859

GCD(1, 859) = 859 / 859

GCD(1, 859) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 353, 947, 859, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 355, 151, 827
• GCD of 822, 155, 264, 596
• GCD of 124, 136, 465, 153
• GCD of 969, 847, 470, 647
• GCD of 748, 362, 584, 722

1. What is the GCD of 353, 947, 859, 460?

GCD of 353, 947, 859, 460 is 1

2. Where do I get the detailed procedure to find GCD of 353, 947, 859, 460?

You can find a detailed procedure to find GCD of 353, 947, 859, 460 on our page.

3. How to find GCD of 353, 947, 859, 460 on a calculator?

You can find the GCD of 353, 947, 859, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.