GCD of 706, 758, 198, 528 Calculator

Given Input numbers are 706, 758, 198, 528

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 706, 758, 198, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 758, 198, 528 is 2.

Therefore, GCD of numbers 706, 758, 198, 528 is 2

Given Input Data is 706, 758, 198, 528

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 758 is 2 x 379

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

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(706, 758) = 267574

GCD(706, 758) = ( 706 x 758 ) / 267574

GCD(706, 758) = 535148 / 267574

GCD(706, 758) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 198

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

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

GCD(2, 198) = 396 / 198

GCD(2, 198) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 528

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

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

GCD(2, 528) = 1056 / 528

GCD(2, 528) = 2

GCD of 706, 758, 198, 528 is 2

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1. What is the GCD of 706, 758, 198, 528?

GCD of 706, 758, 198, 528 is 2

2. Where do I get the detailed procedure to find GCD of 706, 758, 198, 528?

You can find a detailed procedure to find GCD of 706, 758, 198, 528 on our page.

3. How to find GCD of 706, 758, 198, 528 on a calculator?

You can find the GCD of 706, 758, 198, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.