GCD of 149, 312, 440, 402 Calculator

Given Input numbers are 149, 312, 440, 402

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

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 402

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

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

Greatest Common Divisior

We found the divisors of 149, 312, 440, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 312, 440, 402 is 1.

Therefore, GCD of numbers 149, 312, 440, 402 is 1

Given Input Data is 149, 312, 440, 402

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

Prime Factorization of 149 is 149

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 402 is 2 x 3 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(149, 312) = 46488

GCD(149, 312) = ( 149 x 312 ) / 46488

GCD(149, 312) = 46488 / 46488

GCD(149, 312) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

GCD of 149, 312, 440, 402 is 1

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1. What is the GCD of 149, 312, 440, 402?

GCD of 149, 312, 440, 402 is 1

2. Where do I get the detailed procedure to find GCD of 149, 312, 440, 402?

You can find a detailed procedure to find GCD of 149, 312, 440, 402 on our page.

3. How to find GCD of 149, 312, 440, 402 on a calculator?

You can find the GCD of 149, 312, 440, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.