GCD of 171, 300, 60, 943 Calculator

Given Input numbers are 171, 300, 60, 943

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Greatest Common Divisior

We found the divisors of 171, 300, 60, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 300, 60, 943 is 1.

Therefore, GCD of numbers 171, 300, 60, 943 is 1

Given Input Data is 171, 300, 60, 943

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 943 is 23 x 41

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(171, 300) = 17100

GCD(171, 300) = ( 171 x 300 ) / 17100

GCD(171, 300) = 51300 / 17100

GCD(171, 300) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 60

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

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

GCD(3, 60) = 180 / 60

GCD(3, 60) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 943

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

LCM(3, 943) = 2829

GCD(3, 943) = ( 3 x 943 ) / 2829

GCD(3, 943) = 2829 / 2829

GCD(3, 943) = 1

GCD of 171, 300, 60, 943 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 942, 63, 244
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• GCD of 806, 117, 92, 338
• GCD of 430, 194, 75, 585
• GCD of 347, 221, 35, 469

1. What is the GCD of 171, 300, 60, 943?

GCD of 171, 300, 60, 943 is 1

2. Where do I get the detailed procedure to find GCD of 171, 300, 60, 943?

You can find a detailed procedure to find GCD of 171, 300, 60, 943 on our page.

3. How to find GCD of 171, 300, 60, 943 on a calculator?

You can find the GCD of 171, 300, 60, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.