GCD of 117, 905, 24, 942 Calculator

Given Input numbers are 117, 905, 24, 942

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 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 117, 905, 24, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 905, 24, 942 is 1.

Therefore, GCD of numbers 117, 905, 24, 942 is 1

Given Input Data is 117, 905, 24, 942

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 905 is 5 x 181

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 942 is 2 x 3 x 157

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, 905) = 105885

GCD(117, 905) = ( 117 x 905 ) / 105885

GCD(117, 905) = 105885 / 105885

GCD(117, 905) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 117, 905, 24, 942 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 332, 91, 959
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• GCD of 161, 591, 46, 582
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• GCD of 378, 507, 79, 792

1. What is the GCD of 117, 905, 24, 942?

GCD of 117, 905, 24, 942 is 1

2. Where do I get the detailed procedure to find GCD of 117, 905, 24, 942?

You can find a detailed procedure to find GCD of 117, 905, 24, 942 on our page.

3. How to find GCD of 117, 905, 24, 942 on a calculator?

You can find the GCD of 117, 905, 24, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.