GCD of 465, 532, 794, 345 Calculator

Given Input numbers are 465, 532, 794, 345

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

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 465, 532, 794, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 532, 794, 345 is 1.

Therefore, GCD of numbers 465, 532, 794, 345 is 1

Given Input Data is 465, 532, 794, 345

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 794 is 2 x 397

Prime Factorization of 345 is 3 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(465, 532) = 247380

GCD(465, 532) = ( 465 x 532 ) / 247380

GCD(465, 532) = 247380 / 247380

GCD(465, 532) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 794

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

LCM(1, 794) = 794

GCD(1, 794) = ( 1 x 794 ) / 794

GCD(1, 794) = 794 / 794

GCD(1, 794) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 465, 532, 794, 345 is 1

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1. What is the GCD of 465, 532, 794, 345?

GCD of 465, 532, 794, 345 is 1

2. Where do I get the detailed procedure to find GCD of 465, 532, 794, 345?

You can find a detailed procedure to find GCD of 465, 532, 794, 345 on our page.

3. How to find GCD of 465, 532, 794, 345 on a calculator?

You can find the GCD of 465, 532, 794, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.