GCD of 75, 306, 722, 557 Calculator

Given Input numbers are 75, 306, 722, 557

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 722

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

1, 2, 19, 38, 361, 722

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Greatest Common Divisior

We found the divisors of 75, 306, 722, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 306, 722, 557 is 1.

Therefore, GCD of numbers 75, 306, 722, 557 is 1

Given Input Data is 75, 306, 722, 557

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 557 is 557

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(75, 306) = 7650

GCD(75, 306) = ( 75 x 306 ) / 7650

GCD(75, 306) = 22950 / 7650

GCD(75, 306) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 722

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

LCM(3, 722) = 2166

GCD(3, 722) = ( 3 x 722 ) / 2166

GCD(3, 722) = 2166 / 2166

GCD(3, 722) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

GCD of 75, 306, 722, 557 is 1

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• GCD of 12, 143, 927, 989
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1. What is the GCD of 75, 306, 722, 557?

GCD of 75, 306, 722, 557 is 1

2. Where do I get the detailed procedure to find GCD of 75, 306, 722, 557?

You can find a detailed procedure to find GCD of 75, 306, 722, 557 on our page.

3. How to find GCD of 75, 306, 722, 557 on a calculator?

You can find the GCD of 75, 306, 722, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.