GCD of 109, 528, 150, 341 Calculator

Given Input numbers are 109, 528, 150, 341

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 109, 528, 150, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 528, 150, 341 is 1.

Therefore, GCD of numbers 109, 528, 150, 341 is 1

Given Input Data is 109, 528, 150, 341

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

Prime Factorization of 109 is 109

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 341 is 11 x 31

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(109, 528) = 57552

GCD(109, 528) = ( 109 x 528 ) / 57552

GCD(109, 528) = 57552 / 57552

GCD(109, 528) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 109, 528, 150, 341 is 1

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1. What is the GCD of 109, 528, 150, 341?

GCD of 109, 528, 150, 341 is 1

2. Where do I get the detailed procedure to find GCD of 109, 528, 150, 341?

You can find a detailed procedure to find GCD of 109, 528, 150, 341 on our page.

3. How to find GCD of 109, 528, 150, 341 on a calculator?

You can find the GCD of 109, 528, 150, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.