GCD of 375, 559, 560, 413 Calculator

Given Input numbers are 375, 559, 560, 413

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

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 375, 559, 560, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 559, 560, 413 is 1.

Therefore, GCD of numbers 375, 559, 560, 413 is 1

Given Input Data is 375, 559, 560, 413

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

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 559 is 13 x 43

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

Prime Factorization of 413 is 7 x 59

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(375, 559) = 209625

GCD(375, 559) = ( 375 x 559 ) / 209625

GCD(375, 559) = 209625 / 209625

GCD(375, 559) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 375, 559, 560, 413 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 433, 552, 606
• GCD of 370, 912, 948, 977
• GCD of 841, 747, 238, 937
• GCD of 479, 175, 424, 299
• GCD of 138, 505, 186, 116

1. What is the GCD of 375, 559, 560, 413?

GCD of 375, 559, 560, 413 is 1

2. Where do I get the detailed procedure to find GCD of 375, 559, 560, 413?

You can find a detailed procedure to find GCD of 375, 559, 560, 413 on our page.

3. How to find GCD of 375, 559, 560, 413 on a calculator?

You can find the GCD of 375, 559, 560, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.