GCD of 154, 398, 464, 186 Calculator

Given Input numbers are 154, 398, 464, 186

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Greatest Common Divisior

We found the divisors of 154, 398, 464, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 398, 464, 186 is 2.

Therefore, GCD of numbers 154, 398, 464, 186 is 2

Given Input Data is 154, 398, 464, 186

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 398 is 2 x 199

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 186 is 2 x 3 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(154, 398) = 30646

GCD(154, 398) = ( 154 x 398 ) / 30646

GCD(154, 398) = 61292 / 30646

GCD(154, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 464

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

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

GCD(2, 464) = 928 / 464

GCD(2, 464) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 186

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

LCM(2, 186) = 186

GCD(2, 186) = ( 2 x 186 ) / 186

GCD(2, 186) = 372 / 186

GCD(2, 186) = 2

GCD of 154, 398, 464, 186 is 2

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1. What is the GCD of 154, 398, 464, 186?

GCD of 154, 398, 464, 186 is 2

2. Where do I get the detailed procedure to find GCD of 154, 398, 464, 186?

You can find a detailed procedure to find GCD of 154, 398, 464, 186 on our page.

3. How to find GCD of 154, 398, 464, 186 on a calculator?

You can find the GCD of 154, 398, 464, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.