GCD of 372, 144, 935, 469 Calculator

Given Input numbers are 372, 144, 935, 469

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

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 372, 144, 935, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 144, 935, 469 is 1.

Therefore, GCD of numbers 372, 144, 935, 469 is 1

Given Input Data is 372, 144, 935, 469

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

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 469 is 7 x 67

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(372, 144) = 4464

GCD(372, 144) = ( 372 x 144 ) / 4464

GCD(372, 144) = 53568 / 4464

GCD(372, 144) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 935

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

LCM(12, 935) = 11220

GCD(12, 935) = ( 12 x 935 ) / 11220

GCD(12, 935) = 11220 / 11220

GCD(12, 935) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 372, 144, 935, 469 is 1

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1. What is the GCD of 372, 144, 935, 469?

GCD of 372, 144, 935, 469 is 1

2. Where do I get the detailed procedure to find GCD of 372, 144, 935, 469?

You can find a detailed procedure to find GCD of 372, 144, 935, 469 on our page.

3. How to find GCD of 372, 144, 935, 469 on a calculator?

You can find the GCD of 372, 144, 935, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.