GCD of 150, 541, 560 Calculator

Given Input numbers are 150, 541, 560

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

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 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 150, 541, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 541, 560 is 1.

Therefore, GCD of numbers 150, 541, 560 is 1

Given Input Data is 150, 541, 560

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

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

Prime Factorization of 541 is 541

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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(150, 541) = 81150

GCD(150, 541) = ( 150 x 541 ) / 81150

GCD(150, 541) = 81150 / 81150

GCD(150, 541) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

GCD of 150, 541, 560 is 1

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1. What is the GCD of 150, 541, 560?

GCD of 150, 541, 560 is 1

2. Where do I get the detailed procedure to find GCD of 150, 541, 560?

You can find a detailed procedure to find GCD of 150, 541, 560 on our page.

3. How to find GCD of 150, 541, 560 on a calculator?

You can find the GCD of 150, 541, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.