GCD of 748, 200, 64, 206 Calculator

Given Input numbers are 748, 200, 64, 206

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 748, 200, 64, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 200, 64, 206 is 2.

Therefore, GCD of numbers 748, 200, 64, 206 is 2

Given Input Data is 748, 200, 64, 206

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

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

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 206 is 2 x 103

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(748, 200) = 37400

GCD(748, 200) = ( 748 x 200 ) / 37400

GCD(748, 200) = 149600 / 37400

GCD(748, 200) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 64

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

LCM(4, 64) = 64

GCD(4, 64) = ( 4 x 64 ) / 64

GCD(4, 64) = 256 / 64

GCD(4, 64) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 206

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

LCM(4, 206) = 412

GCD(4, 206) = ( 4 x 206 ) / 412

GCD(4, 206) = 824 / 412

GCD(4, 206) = 2

GCD of 748, 200, 64, 206 is 2

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1. What is the GCD of 748, 200, 64, 206?

GCD of 748, 200, 64, 206 is 2

2. Where do I get the detailed procedure to find GCD of 748, 200, 64, 206?

You can find a detailed procedure to find GCD of 748, 200, 64, 206 on our page.

3. How to find GCD of 748, 200, 64, 206 on a calculator?

You can find the GCD of 748, 200, 64, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.