GCD of 897, 680, 525, 434 Calculator

Given Input numbers are 897, 680, 525, 434

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 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 897, 680, 525, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 680, 525, 434 is 1.

Therefore, GCD of numbers 897, 680, 525, 434 is 1

Given Input Data is 897, 680, 525, 434

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 680 is 2 x 2 x 2 x 5 x 17

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

Prime Factorization of 434 is 2 x 7 x 31

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, 680) = 609960

GCD(897, 680) = ( 897 x 680 ) / 609960

GCD(897, 680) = 609960 / 609960

GCD(897, 680) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 897, 680, 525, 434 is 1

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1. What is the GCD of 897, 680, 525, 434?

GCD of 897, 680, 525, 434 is 1

2. Where do I get the detailed procedure to find GCD of 897, 680, 525, 434?

You can find a detailed procedure to find GCD of 897, 680, 525, 434 on our page.

3. How to find GCD of 897, 680, 525, 434 on a calculator?

You can find the GCD of 897, 680, 525, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.