GCD of 952, 871, 909, 209 Calculator

Given Input numbers are 952, 871, 909, 209

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

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 952, 871, 909, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 871, 909, 209 is 1.

Therefore, GCD of numbers 952, 871, 909, 209 is 1

Given Input Data is 952, 871, 909, 209

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

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 871 is 13 x 67

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 209 is 11 x 19

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(952, 871) = 829192

GCD(952, 871) = ( 952 x 871 ) / 829192

GCD(952, 871) = 829192 / 829192

GCD(952, 871) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

GCD of 952, 871, 909, 209 is 1

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1. What is the GCD of 952, 871, 909, 209?

GCD of 952, 871, 909, 209 is 1

2. Where do I get the detailed procedure to find GCD of 952, 871, 909, 209?

You can find a detailed procedure to find GCD of 952, 871, 909, 209 on our page.

3. How to find GCD of 952, 871, 909, 209 on a calculator?

You can find the GCD of 952, 871, 909, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.