GCD of 345, 558, 151, 100 Calculator

Given Input numbers are 345, 558, 151, 100

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 345, 558, 151, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 558, 151, 100 is 1.

Therefore, GCD of numbers 345, 558, 151, 100 is 1

Given Input Data is 345, 558, 151, 100

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 151 is 151

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(345, 558) = 64170

GCD(345, 558) = ( 345 x 558 ) / 64170

GCD(345, 558) = 192510 / 64170

GCD(345, 558) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 151

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

LCM(3, 151) = 453

GCD(3, 151) = ( 3 x 151 ) / 453

GCD(3, 151) = 453 / 453

GCD(3, 151) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 345, 558, 151, 100 is 1

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1. What is the GCD of 345, 558, 151, 100?

GCD of 345, 558, 151, 100 is 1

2. Where do I get the detailed procedure to find GCD of 345, 558, 151, 100?

You can find a detailed procedure to find GCD of 345, 558, 151, 100 on our page.

3. How to find GCD of 345, 558, 151, 100 on a calculator?

You can find the GCD of 345, 558, 151, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.