GCD of 975, 300, 161, 261 Calculator

Given Input numbers are 975, 300, 161, 261

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 975, 300, 161, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 300, 161, 261 is 1.

Therefore, GCD of numbers 975, 300, 161, 261 is 1

Given Input Data is 975, 300, 161, 261

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

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

Prime Factorization of 161 is 7 x 23

Prime Factorization of 261 is 3 x 3 x 29

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(975, 300) = 3900

GCD(975, 300) = ( 975 x 300 ) / 3900

GCD(975, 300) = 292500 / 3900

GCD(975, 300) = 75

Step2:

Here we consider the GCD from the above i.e. 75 as first number and the next as 161

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

LCM(75, 161) = 12075

GCD(75, 161) = ( 75 x 161 ) / 12075

GCD(75, 161) = 12075 / 12075

GCD(75, 161) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 261

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

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

GCD(1, 261) = 261 / 261

GCD(1, 261) = 1

GCD of 975, 300, 161, 261 is 1

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• GCD of 455, 961, 595, 969
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1. What is the GCD of 975, 300, 161, 261?

GCD of 975, 300, 161, 261 is 1

2. Where do I get the detailed procedure to find GCD of 975, 300, 161, 261?

You can find a detailed procedure to find GCD of 975, 300, 161, 261 on our page.

3. How to find GCD of 975, 300, 161, 261 on a calculator?

You can find the GCD of 975, 300, 161, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.