GCD of 972, 949, 65, 447 Calculator

Given Input numbers are 972, 949, 65, 447

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

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

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Greatest Common Divisior

We found the divisors of 972, 949, 65, 447 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 949, 65, 447 is 1.

Therefore, GCD of numbers 972, 949, 65, 447 is 1

Given Input Data is 972, 949, 65, 447

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

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 949 is 13 x 73

Prime Factorization of 65 is 5 x 13

Prime Factorization of 447 is 3 x 149

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(972, 949) = 922428

GCD(972, 949) = ( 972 x 949 ) / 922428

GCD(972, 949) = 922428 / 922428

GCD(972, 949) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 447

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

LCM(1, 447) = 447

GCD(1, 447) = ( 1 x 447 ) / 447

GCD(1, 447) = 447 / 447

GCD(1, 447) = 1

GCD of 972, 949, 65, 447 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 763, 41, 189
• GCD of 512, 274, 65, 154
• GCD of 319, 102, 44, 699
• GCD of 253, 708, 41, 714
• GCD of 117, 586, 47, 454

1. What is the GCD of 972, 949, 65, 447?

GCD of 972, 949, 65, 447 is 1

2. Where do I get the detailed procedure to find GCD of 972, 949, 65, 447?

You can find a detailed procedure to find GCD of 972, 949, 65, 447 on our page.

3. How to find GCD of 972, 949, 65, 447 on a calculator?

You can find the GCD of 972, 949, 65, 447 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.