GCD of 559, 722, 749, 114 Calculator

Given Input numbers are 559, 722, 749, 114

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

Divisors of 559

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

1, 13, 43, 559

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 559, 722, 749, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 722, 749, 114 is 1.

Therefore, GCD of numbers 559, 722, 749, 114 is 1

Given Input Data is 559, 722, 749, 114

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 749 is 7 x 107

Prime Factorization of 114 is 2 x 3 x 19

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(559, 722) = 403598

GCD(559, 722) = ( 559 x 722 ) / 403598

GCD(559, 722) = 403598 / 403598

GCD(559, 722) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 559, 722, 749, 114 is 1

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1. What is the GCD of 559, 722, 749, 114?

GCD of 559, 722, 749, 114 is 1

2. Where do I get the detailed procedure to find GCD of 559, 722, 749, 114?

You can find a detailed procedure to find GCD of 559, 722, 749, 114 on our page.

3. How to find GCD of 559, 722, 749, 114 on a calculator?

You can find the GCD of 559, 722, 749, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.