GCD of 118, 402, 33, 458 Calculator

Given Input numbers are 118, 402, 33, 458

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

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 118, 402, 33, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 402, 33, 458 is 1.

Therefore, GCD of numbers 118, 402, 33, 458 is 1

Given Input Data is 118, 402, 33, 458

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 33 is 3 x 11

Prime Factorization of 458 is 2 x 229

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(118, 402) = 23718

GCD(118, 402) = ( 118 x 402 ) / 23718

GCD(118, 402) = 47436 / 23718

GCD(118, 402) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 33

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

LCM(2, 33) = 66

GCD(2, 33) = ( 2 x 33 ) / 66

GCD(2, 33) = 66 / 66

GCD(2, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 118, 402, 33, 458 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 637, 26, 785
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• GCD of 996, 907, 57, 313

1. What is the GCD of 118, 402, 33, 458?

GCD of 118, 402, 33, 458 is 1

2. Where do I get the detailed procedure to find GCD of 118, 402, 33, 458?

You can find a detailed procedure to find GCD of 118, 402, 33, 458 on our page.

3. How to find GCD of 118, 402, 33, 458 on a calculator?

You can find the GCD of 118, 402, 33, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.