GCD of 945, 232, 76, 984 Calculator

Given Input numbers are 945, 232, 76, 984

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 945, 232, 76, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 232, 76, 984 is 1.

Therefore, GCD of numbers 945, 232, 76, 984 is 1

Given Input Data is 945, 232, 76, 984

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 984 is 2 x 2 x 2 x 3 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(945, 232) = 219240

GCD(945, 232) = ( 945 x 232 ) / 219240

GCD(945, 232) = 219240 / 219240

GCD(945, 232) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 945, 232, 76, 984 is 1

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1. What is the GCD of 945, 232, 76, 984?

GCD of 945, 232, 76, 984 is 1

2. Where do I get the detailed procedure to find GCD of 945, 232, 76, 984?

You can find a detailed procedure to find GCD of 945, 232, 76, 984 on our page.

3. How to find GCD of 945, 232, 76, 984 on a calculator?

You can find the GCD of 945, 232, 76, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.