GCD of 144, 647, 76, 972 Calculator

Given Input numbers are 144, 647, 76, 972

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

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

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Divisors of 76

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

1, 2, 4, 19, 38, 76

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 144, 647, 76, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 647, 76, 972 is 1.

Therefore, GCD of numbers 144, 647, 76, 972 is 1

Given Input Data is 144, 647, 76, 972

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

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

Prime Factorization of 647 is 647

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 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(144, 647) = 93168

GCD(144, 647) = ( 144 x 647 ) / 93168

GCD(144, 647) = 93168 / 93168

GCD(144, 647) = 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 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 144, 647, 76, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 599, 694, 55, 727
• GCD of 543, 568, 81, 742
• GCD of 643, 713, 90, 734
• GCD of 321, 829, 62, 996
• GCD of 885, 199, 34, 145

1. What is the GCD of 144, 647, 76, 972?

GCD of 144, 647, 76, 972 is 1

2. Where do I get the detailed procedure to find GCD of 144, 647, 76, 972?

You can find a detailed procedure to find GCD of 144, 647, 76, 972 on our page.

3. How to find GCD of 144, 647, 76, 972 on a calculator?

You can find the GCD of 144, 647, 76, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.