GCD of 849, 987, 266, 260 Calculator

Given Input numbers are 849, 987, 266, 260

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

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

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

Greatest Common Divisior

We found the divisors of 849, 987, 266, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 987, 266, 260 is 1.

Therefore, GCD of numbers 849, 987, 266, 260 is 1

Given Input Data is 849, 987, 266, 260

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

Prime Factorization of 849 is 3 x 283

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 266 is 2 x 7 x 19

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

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(849, 987) = 279321

GCD(849, 987) = ( 849 x 987 ) / 279321

GCD(849, 987) = 837963 / 279321

GCD(849, 987) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 266

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

LCM(3, 266) = 798

GCD(3, 266) = ( 3 x 266 ) / 798

GCD(3, 266) = 798 / 798

GCD(3, 266) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

GCD of 849, 987, 266, 260 is 1

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1. What is the GCD of 849, 987, 266, 260?

GCD of 849, 987, 266, 260 is 1

2. Where do I get the detailed procedure to find GCD of 849, 987, 266, 260?

You can find a detailed procedure to find GCD of 849, 987, 266, 260 on our page.

3. How to find GCD of 849, 987, 266, 260 on a calculator?

You can find the GCD of 849, 987, 266, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.