GCD of 59, 469, 560, 199 Calculator

Given Input numbers are 59, 469, 560, 199

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

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 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 59, 469, 560, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 469, 560, 199 is 1.

Therefore, GCD of numbers 59, 469, 560, 199 is 1

Given Input Data is 59, 469, 560, 199

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

Prime Factorization of 59 is 59

Prime Factorization of 469 is 7 x 67

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

Prime Factorization of 199 is 199

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(59, 469) = 27671

GCD(59, 469) = ( 59 x 469 ) / 27671

GCD(59, 469) = 27671 / 27671

GCD(59, 469) = 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 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 59, 469, 560, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 841, 363, 802
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• GCD of 63, 562, 357, 333
• GCD of 62, 432, 717, 380
• GCD of 33, 769, 643, 202

1. What is the GCD of 59, 469, 560, 199?

GCD of 59, 469, 560, 199 is 1

2. Where do I get the detailed procedure to find GCD of 59, 469, 560, 199?

You can find a detailed procedure to find GCD of 59, 469, 560, 199 on our page.

3. How to find GCD of 59, 469, 560, 199 on a calculator?

You can find the GCD of 59, 469, 560, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.