GCD of 648, 991, 32, 144 Calculator

Given Input numbers are 648, 991, 32, 144

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 648, 991, 32, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 991, 32, 144 is 1.

Therefore, GCD of numbers 648, 991, 32, 144 is 1

Given Input Data is 648, 991, 32, 144

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 991 is 991

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(648, 991) = 642168

GCD(648, 991) = ( 648 x 991 ) / 642168

GCD(648, 991) = 642168 / 642168

GCD(648, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 648, 991, 32, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 878, 837, 70, 922
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• GCD of 456, 117, 66, 949
• GCD of 385, 618, 51, 968
• GCD of 299, 470, 64, 925

1. What is the GCD of 648, 991, 32, 144?

GCD of 648, 991, 32, 144 is 1

2. Where do I get the detailed procedure to find GCD of 648, 991, 32, 144?

You can find a detailed procedure to find GCD of 648, 991, 32, 144 on our page.

3. How to find GCD of 648, 991, 32, 144 on a calculator?

You can find the GCD of 648, 991, 32, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.