GCD of 196, 997, 525, 905 Calculator

Given Input numbers are 196, 997, 525, 905

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

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 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 196, 997, 525, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 997, 525, 905 is 1.

Therefore, GCD of numbers 196, 997, 525, 905 is 1

Given Input Data is 196, 997, 525, 905

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 997 is 997

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

Prime Factorization of 905 is 5 x 181

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(196, 997) = 195412

GCD(196, 997) = ( 196 x 997 ) / 195412

GCD(196, 997) = 195412 / 195412

GCD(196, 997) = 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 905

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

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

GCD(1, 905) = 905 / 905

GCD(1, 905) = 1

GCD of 196, 997, 525, 905 is 1

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1. What is the GCD of 196, 997, 525, 905?

GCD of 196, 997, 525, 905 is 1

2. Where do I get the detailed procedure to find GCD of 196, 997, 525, 905?

You can find a detailed procedure to find GCD of 196, 997, 525, 905 on our page.

3. How to find GCD of 196, 997, 525, 905 on a calculator?

You can find the GCD of 196, 997, 525, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.