GCD of 346, 755, 897, 509 Calculator

Given Input numbers are 346, 755, 897, 509

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

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

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 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 346, 755, 897, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 755, 897, 509 is 1.

Therefore, GCD of numbers 346, 755, 897, 509 is 1

Given Input Data is 346, 755, 897, 509

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

Prime Factorization of 346 is 2 x 173

Prime Factorization of 755 is 5 x 151

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 509 is 509

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(346, 755) = 261230

GCD(346, 755) = ( 346 x 755 ) / 261230

GCD(346, 755) = 261230 / 261230

GCD(346, 755) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 897

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

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

GCD(1, 897) = 897 / 897

GCD(1, 897) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 346, 755, 897, 509 is 1

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1. What is the GCD of 346, 755, 897, 509?

GCD of 346, 755, 897, 509 is 1

2. Where do I get the detailed procedure to find GCD of 346, 755, 897, 509?

You can find a detailed procedure to find GCD of 346, 755, 897, 509 on our page.

3. How to find GCD of 346, 755, 897, 509 on a calculator?

You can find the GCD of 346, 755, 897, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.