GCD of 897, 272, 69, 102 Calculator

Given Input numbers are 897, 272, 69, 102

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 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 897, 272, 69, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 272, 69, 102 is 1.

Therefore, GCD of numbers 897, 272, 69, 102 is 1

Given Input Data is 897, 272, 69, 102

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 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 69 is 3 x 23

Prime Factorization of 102 is 2 x 3 x 17

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, 272) = 243984

GCD(897, 272) = ( 897 x 272 ) / 243984

GCD(897, 272) = 243984 / 243984

GCD(897, 272) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

GCD of 897, 272, 69, 102 is 1

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1. What is the GCD of 897, 272, 69, 102?

GCD of 897, 272, 69, 102 is 1

2. Where do I get the detailed procedure to find GCD of 897, 272, 69, 102?

You can find a detailed procedure to find GCD of 897, 272, 69, 102 on our page.

3. How to find GCD of 897, 272, 69, 102 on a calculator?

You can find the GCD of 897, 272, 69, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.