GCD of 117, 442, 64, 943 Calculator

Given Input numbers are 117, 442, 64, 943

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

Divisors of 117

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

1, 3, 9, 13, 39, 117

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Greatest Common Divisior

We found the divisors of 117, 442, 64, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 442, 64, 943 is 1.

Therefore, GCD of numbers 117, 442, 64, 943 is 1

Given Input Data is 117, 442, 64, 943

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 943 is 23 x 41

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(117, 442) = 3978

GCD(117, 442) = ( 117 x 442 ) / 3978

GCD(117, 442) = 51714 / 3978

GCD(117, 442) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 64

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

LCM(13, 64) = 832

GCD(13, 64) = ( 13 x 64 ) / 832

GCD(13, 64) = 832 / 832

GCD(13, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 943

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

LCM(1, 943) = 943

GCD(1, 943) = ( 1 x 943 ) / 943

GCD(1, 943) = 943 / 943

GCD(1, 943) = 1

GCD of 117, 442, 64, 943 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 928, 45, 269
• GCD of 152, 252, 34, 271
• GCD of 613, 684, 99, 783
• GCD of 346, 570, 28, 417
• GCD of 603, 563, 65, 180

1. What is the GCD of 117, 442, 64, 943?

GCD of 117, 442, 64, 943 is 1

2. Where do I get the detailed procedure to find GCD of 117, 442, 64, 943?

You can find a detailed procedure to find GCD of 117, 442, 64, 943 on our page.

3. How to find GCD of 117, 442, 64, 943 on a calculator?

You can find the GCD of 117, 442, 64, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.