GCD of 952, 381, 420, 909 Calculator

Given Input numbers are 952, 381, 420, 909

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 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 909

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

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 952, 381, 420, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 381, 420, 909 is 1.

Therefore, GCD of numbers 952, 381, 420, 909 is 1

Given Input Data is 952, 381, 420, 909

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 381 is 3 x 127

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 909 is 3 x 3 x 101

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, 381) = 362712

GCD(952, 381) = ( 952 x 381 ) / 362712

GCD(952, 381) = 362712 / 362712

GCD(952, 381) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

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

GCD of 952, 381, 420, 909 is 1

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1. What is the GCD of 952, 381, 420, 909?

GCD of 952, 381, 420, 909 is 1

2. Where do I get the detailed procedure to find GCD of 952, 381, 420, 909?

You can find a detailed procedure to find GCD of 952, 381, 420, 909 on our page.

3. How to find GCD of 952, 381, 420, 909 on a calculator?

You can find the GCD of 952, 381, 420, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.