GCD of 170, 767, 21, 260 Calculator

Given Input numbers are 170, 767, 21, 260

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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 170, 767, 21, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 767, 21, 260 is 1.

Therefore, GCD of numbers 170, 767, 21, 260 is 1

Given Input Data is 170, 767, 21, 260

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 767 is 13 x 59

Prime Factorization of 21 is 3 x 7

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(170, 767) = 130390

GCD(170, 767) = ( 170 x 767 ) / 130390

GCD(170, 767) = 130390 / 130390

GCD(170, 767) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 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 170, 767, 21, 260 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 476, 16, 192
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• GCD of 577, 229, 25, 713
• GCD of 517, 371, 35, 168

1. What is the GCD of 170, 767, 21, 260?

GCD of 170, 767, 21, 260 is 1

2. Where do I get the detailed procedure to find GCD of 170, 767, 21, 260?

You can find a detailed procedure to find GCD of 170, 767, 21, 260 on our page.

3. How to find GCD of 170, 767, 21, 260 on a calculator?

You can find the GCD of 170, 767, 21, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.