GCD of 260, 979, 35, 897 Calculator

Given Input numbers are 260, 979, 35, 897

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 260, 979, 35, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 979, 35, 897 is 1.

Therefore, GCD of numbers 260, 979, 35, 897 is 1

Given Input Data is 260, 979, 35, 897

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 979 is 11 x 89

Prime Factorization of 35 is 5 x 7

Prime Factorization of 897 is 3 x 13 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(260, 979) = 254540

GCD(260, 979) = ( 260 x 979 ) / 254540

GCD(260, 979) = 254540 / 254540

GCD(260, 979) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 897

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

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

GCD(1, 897) = 897 / 897

GCD(1, 897) = 1

GCD of 260, 979, 35, 897 is 1

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1. What is the GCD of 260, 979, 35, 897?

GCD of 260, 979, 35, 897 is 1

2. Where do I get the detailed procedure to find GCD of 260, 979, 35, 897?

You can find a detailed procedure to find GCD of 260, 979, 35, 897 on our page.

3. How to find GCD of 260, 979, 35, 897 on a calculator?

You can find the GCD of 260, 979, 35, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.