GCD of 552, 722, 508, 698 Calculator

Given Input numbers are 552, 722, 508, 698

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

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 722

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

1, 2, 19, 38, 361, 722

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 552, 722, 508, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 722, 508, 698 is 2.

Therefore, GCD of numbers 552, 722, 508, 698 is 2

Given Input Data is 552, 722, 508, 698

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 698 is 2 x 349

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(552, 722) = 199272

GCD(552, 722) = ( 552 x 722 ) / 199272

GCD(552, 722) = 398544 / 199272

GCD(552, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 508

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

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

GCD(2, 508) = 1016 / 508

GCD(2, 508) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 698

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

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

GCD(2, 698) = 1396 / 698

GCD(2, 698) = 2

GCD of 552, 722, 508, 698 is 2

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1. What is the GCD of 552, 722, 508, 698?

GCD of 552, 722, 508, 698 is 2

2. Where do I get the detailed procedure to find GCD of 552, 722, 508, 698?

You can find a detailed procedure to find GCD of 552, 722, 508, 698 on our page.

3. How to find GCD of 552, 722, 508, 698 on a calculator?

You can find the GCD of 552, 722, 508, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.