GCD of 897, 387, 85, 342 Calculator

Given Input numbers are 897, 387, 85, 342

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

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 85

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

1, 5, 17, 85

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 897, 387, 85, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 387, 85, 342 is 1.

Therefore, GCD of numbers 897, 387, 85, 342 is 1

Given Input Data is 897, 387, 85, 342

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

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 85 is 5 x 17

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(897, 387) = 115713

GCD(897, 387) = ( 897 x 387 ) / 115713

GCD(897, 387) = 347139 / 115713

GCD(897, 387) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 85

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

LCM(3, 85) = 255

GCD(3, 85) = ( 3 x 85 ) / 255

GCD(3, 85) = 255 / 255

GCD(3, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 897, 387, 85, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 855, 70, 398
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• GCD of 348, 883, 19, 409
• GCD of 153, 849, 80, 727
• GCD of 229, 312, 14, 982

1. What is the GCD of 897, 387, 85, 342?

GCD of 897, 387, 85, 342 is 1

2. Where do I get the detailed procedure to find GCD of 897, 387, 85, 342?

You can find a detailed procedure to find GCD of 897, 387, 85, 342 on our page.

3. How to find GCD of 897, 387, 85, 342 on a calculator?

You can find the GCD of 897, 387, 85, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.