GCD of 758, 522, 356, 200 Calculator

Given Input numbers are 758, 522, 356, 200

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

Divisors of 758

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

1, 2, 379, 758

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 758, 522, 356, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 522, 356, 200 is 2.

Therefore, GCD of numbers 758, 522, 356, 200 is 2

Given Input Data is 758, 522, 356, 200

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

Prime Factorization of 758 is 2 x 379

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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(758, 522) = 197838

GCD(758, 522) = ( 758 x 522 ) / 197838

GCD(758, 522) = 395676 / 197838

GCD(758, 522) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 356

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

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

GCD(2, 356) = 712 / 356

GCD(2, 356) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 200

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

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

GCD(2, 200) = 400 / 200

GCD(2, 200) = 2

GCD of 758, 522, 356, 200 is 2

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1. What is the GCD of 758, 522, 356, 200?

GCD of 758, 522, 356, 200 is 2

2. Where do I get the detailed procedure to find GCD of 758, 522, 356, 200?

You can find a detailed procedure to find GCD of 758, 522, 356, 200 on our page.

3. How to find GCD of 758, 522, 356, 200 on a calculator?

You can find the GCD of 758, 522, 356, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.