GCD of 901, 312, 85, 353 Calculator

Given Input numbers are 901, 312, 85, 353

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

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

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 901, 312, 85, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 312, 85, 353 is 1.

Therefore, GCD of numbers 901, 312, 85, 353 is 1

Given Input Data is 901, 312, 85, 353

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

Prime Factorization of 901 is 17 x 53

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 85 is 5 x 17

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(901, 312) = 281112

GCD(901, 312) = ( 901 x 312 ) / 281112

GCD(901, 312) = 281112 / 281112

GCD(901, 312) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

GCD of 901, 312, 85, 353 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 465, 59, 947
• GCD of 741, 771, 95, 529
• GCD of 554, 609, 79, 219
• GCD of 359, 564, 21, 935
• GCD of 104, 572, 56, 576

1. What is the GCD of 901, 312, 85, 353?

GCD of 901, 312, 85, 353 is 1

2. Where do I get the detailed procedure to find GCD of 901, 312, 85, 353?

You can find a detailed procedure to find GCD of 901, 312, 85, 353 on our page.

3. How to find GCD of 901, 312, 85, 353 on a calculator?

You can find the GCD of 901, 312, 85, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.