GCD of 354, 489, 149, 932 Calculator

Given Input numbers are 354, 489, 149, 932

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 149

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

1, 149

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Greatest Common Divisior

We found the divisors of 354, 489, 149, 932 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 489, 149, 932 is 1.

Therefore, GCD of numbers 354, 489, 149, 932 is 1

Given Input Data is 354, 489, 149, 932

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 489 is 3 x 163

Prime Factorization of 149 is 149

Prime Factorization of 932 is 2 x 2 x 233

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(354, 489) = 57702

GCD(354, 489) = ( 354 x 489 ) / 57702

GCD(354, 489) = 173106 / 57702

GCD(354, 489) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 932

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

LCM(1, 932) = 932

GCD(1, 932) = ( 1 x 932 ) / 932

GCD(1, 932) = 932 / 932

GCD(1, 932) = 1

GCD of 354, 489, 149, 932 is 1

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1. What is the GCD of 354, 489, 149, 932?

GCD of 354, 489, 149, 932 is 1

2. Where do I get the detailed procedure to find GCD of 354, 489, 149, 932?

You can find a detailed procedure to find GCD of 354, 489, 149, 932 on our page.

3. How to find GCD of 354, 489, 149, 932 on a calculator?

You can find the GCD of 354, 489, 149, 932 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.