GCD of 945, 170, 523, 260 Calculator

Given Input numbers are 945, 170, 523, 260

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

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 945, 170, 523, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 170, 523, 260 is 1.

Therefore, GCD of numbers 945, 170, 523, 260 is 1

Given Input Data is 945, 170, 523, 260

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 523 is 523

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(945, 170) = 32130

GCD(945, 170) = ( 945 x 170 ) / 32130

GCD(945, 170) = 160650 / 32130

GCD(945, 170) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 523

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

LCM(5, 523) = 2615

GCD(5, 523) = ( 5 x 523 ) / 2615

GCD(5, 523) = 2615 / 2615

GCD(5, 523) = 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 945, 170, 523, 260 is 1

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1. What is the GCD of 945, 170, 523, 260?

GCD of 945, 170, 523, 260 is 1

2. Where do I get the detailed procedure to find GCD of 945, 170, 523, 260?

You can find a detailed procedure to find GCD of 945, 170, 523, 260 on our page.

3. How to find GCD of 945, 170, 523, 260 on a calculator?

You can find the GCD of 945, 170, 523, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.