GCD of 945, 665, 432, 992 Calculator

Given Input numbers are 945, 665, 432, 992

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 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 945, 665, 432, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 665, 432, 992 is 1.

Therefore, GCD of numbers 945, 665, 432, 992 is 1

Given Input Data is 945, 665, 432, 992

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 665 is 5 x 7 x 19

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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, 665) = 17955

GCD(945, 665) = ( 945 x 665 ) / 17955

GCD(945, 665) = 628425 / 17955

GCD(945, 665) = 35

Step2:

Here we consider the GCD from the above i.e. 35 as first number and the next as 432

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

LCM(35, 432) = 15120

GCD(35, 432) = ( 35 x 432 ) / 15120

GCD(35, 432) = 15120 / 15120

GCD(35, 432) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 945, 665, 432, 992 is 1

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1. What is the GCD of 945, 665, 432, 992?

GCD of 945, 665, 432, 992 is 1

2. Where do I get the detailed procedure to find GCD of 945, 665, 432, 992?

You can find a detailed procedure to find GCD of 945, 665, 432, 992 on our page.

3. How to find GCD of 945, 665, 432, 992 on a calculator?

You can find the GCD of 945, 665, 432, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.