GCD of 142, 201, 300, 560 Calculator

Given Input numbers are 142, 201, 300, 560

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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 142, 201, 300, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 201, 300, 560 is 1.

Therefore, GCD of numbers 142, 201, 300, 560 is 1

Given Input Data is 142, 201, 300, 560

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 201 is 3 x 67

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

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(142, 201) = 28542

GCD(142, 201) = ( 142 x 201 ) / 28542

GCD(142, 201) = 28542 / 28542

GCD(142, 201) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

Step3:

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 142, 201, 300, 560 is 1

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1. What is the GCD of 142, 201, 300, 560?

GCD of 142, 201, 300, 560 is 1

2. Where do I get the detailed procedure to find GCD of 142, 201, 300, 560?

You can find a detailed procedure to find GCD of 142, 201, 300, 560 on our page.

3. How to find GCD of 142, 201, 300, 560 on a calculator?

You can find the GCD of 142, 201, 300, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.