GCD of 42, 366, 976, 117 Calculator

Given Input numbers are 42, 366, 976, 117

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 117

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

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 42, 366, 976, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 366, 976, 117 is 1.

Therefore, GCD of numbers 42, 366, 976, 117 is 1

Given Input Data is 42, 366, 976, 117

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 117 is 3 x 3 x 13

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(42, 366) = 2562

GCD(42, 366) = ( 42 x 366 ) / 2562

GCD(42, 366) = 15372 / 2562

GCD(42, 366) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 976

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

LCM(6, 976) = 2928

GCD(6, 976) = ( 6 x 976 ) / 2928

GCD(6, 976) = 5856 / 2928

GCD(6, 976) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 117

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

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

GCD(2, 117) = 234 / 234

GCD(2, 117) = 1

GCD of 42, 366, 976, 117 is 1

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• GCD of 94, 392, 825, 756
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• GCD of 58, 381, 530, 687

1. What is the GCD of 42, 366, 976, 117?

GCD of 42, 366, 976, 117 is 1

2. Where do I get the detailed procedure to find GCD of 42, 366, 976, 117?

You can find a detailed procedure to find GCD of 42, 366, 976, 117 on our page.

3. How to find GCD of 42, 366, 976, 117 on a calculator?

You can find the GCD of 42, 366, 976, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.