GCD of 598, 755, 774, 560 Calculator

Given Input numbers are 598, 755, 774, 560

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

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 598, 755, 774, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 755, 774, 560 is 1.

Therefore, GCD of numbers 598, 755, 774, 560 is 1

Given Input Data is 598, 755, 774, 560

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 755 is 5 x 151

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(598, 755) = 451490

GCD(598, 755) = ( 598 x 755 ) / 451490

GCD(598, 755) = 451490 / 451490

GCD(598, 755) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 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 598, 755, 774, 560 is 1

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1. What is the GCD of 598, 755, 774, 560?

GCD of 598, 755, 774, 560 is 1

2. Where do I get the detailed procedure to find GCD of 598, 755, 774, 560?

You can find a detailed procedure to find GCD of 598, 755, 774, 560 on our page.

3. How to find GCD of 598, 755, 774, 560 on a calculator?

You can find the GCD of 598, 755, 774, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.