GCD of 657, 348, 149 Calculator

Given Input numbers are 657, 348, 149

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 149

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

1, 149

Greatest Common Divisior

We found the divisors of 657, 348, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 348, 149 is 1.

Therefore, GCD of numbers 657, 348, 149 is 1

Given Input Data is 657, 348, 149

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 149 is 149

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(657, 348) = 76212

GCD(657, 348) = ( 657 x 348 ) / 76212

GCD(657, 348) = 228636 / 76212

GCD(657, 348) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 149

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

LCM(3, 149) = 447

GCD(3, 149) = ( 3 x 149 ) / 447

GCD(3, 149) = 447 / 447

GCD(3, 149) = 1

GCD of 657, 348, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 799, 151
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• GCD of 545, 352, 192
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1. What is the GCD of 657, 348, 149?

GCD of 657, 348, 149 is 1

2. Where do I get the detailed procedure to find GCD of 657, 348, 149?

You can find a detailed procedure to find GCD of 657, 348, 149 on our page.

3. How to find GCD of 657, 348, 149 on a calculator?

You can find the GCD of 657, 348, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.