GCD of 345, 617, 973, 525 Calculator

Given Input numbers are 345, 617, 973, 525

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

Divisors of 345

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

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 345, 617, 973, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 617, 973, 525 is 1.

Therefore, GCD of numbers 345, 617, 973, 525 is 1

Given Input Data is 345, 617, 973, 525

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 617 is 617

Prime Factorization of 973 is 7 x 139

Prime Factorization of 525 is 3 x 5 x 5 x 7

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(345, 617) = 212865

GCD(345, 617) = ( 345 x 617 ) / 212865

GCD(345, 617) = 212865 / 212865

GCD(345, 617) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 525

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

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

GCD(1, 525) = 525 / 525

GCD(1, 525) = 1

GCD of 345, 617, 973, 525 is 1

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1. What is the GCD of 345, 617, 973, 525?

GCD of 345, 617, 973, 525 is 1

2. Where do I get the detailed procedure to find GCD of 345, 617, 973, 525?

You can find a detailed procedure to find GCD of 345, 617, 973, 525 on our page.

3. How to find GCD of 345, 617, 973, 525 on a calculator?

You can find the GCD of 345, 617, 973, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.