GCD of 456, 117, 66, 949 Calculator

Given Input numbers are 456, 117, 66, 949

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 949

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

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 456, 117, 66, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 117, 66, 949 is 1.

Therefore, GCD of numbers 456, 117, 66, 949 is 1

Given Input Data is 456, 117, 66, 949

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 949 is 13 x 73

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(456, 117) = 17784

GCD(456, 117) = ( 456 x 117 ) / 17784

GCD(456, 117) = 53352 / 17784

GCD(456, 117) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 949

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

LCM(3, 949) = 2847

GCD(3, 949) = ( 3 x 949 ) / 2847

GCD(3, 949) = 2847 / 2847

GCD(3, 949) = 1

GCD of 456, 117, 66, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 320, 199, 87, 218
• GCD of 936, 438, 85, 808
• GCD of 984, 253, 70, 943
• GCD of 255, 981, 47, 981
• GCD of 579, 578, 17, 222

1. What is the GCD of 456, 117, 66, 949?

GCD of 456, 117, 66, 949 is 1

2. Where do I get the detailed procedure to find GCD of 456, 117, 66, 949?

You can find a detailed procedure to find GCD of 456, 117, 66, 949 on our page.

3. How to find GCD of 456, 117, 66, 949 on a calculator?

You can find the GCD of 456, 117, 66, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.