GCD of 976, 212, 909, 160 Calculator

Given Input numbers are 976, 212, 909, 160

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 909

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

1, 3, 9, 101, 303, 909

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 976, 212, 909, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 212, 909, 160 is 1.

Therefore, GCD of numbers 976, 212, 909, 160 is 1

Given Input Data is 976, 212, 909, 160

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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(976, 212) = 51728

GCD(976, 212) = ( 976 x 212 ) / 51728

GCD(976, 212) = 206912 / 51728

GCD(976, 212) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 909

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

LCM(4, 909) = 3636

GCD(4, 909) = ( 4 x 909 ) / 3636

GCD(4, 909) = 3636 / 3636

GCD(4, 909) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

GCD of 976, 212, 909, 160 is 1

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1. What is the GCD of 976, 212, 909, 160?

GCD of 976, 212, 909, 160 is 1

2. Where do I get the detailed procedure to find GCD of 976, 212, 909, 160?

You can find a detailed procedure to find GCD of 976, 212, 909, 160 on our page.

3. How to find GCD of 976, 212, 909, 160 on a calculator?

You can find the GCD of 976, 212, 909, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.