GCD of 200, 745, 20, 535 Calculator

Given Input numbers are 200, 745, 20, 535

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

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 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Greatest Common Divisior

We found the divisors of 200, 745, 20, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 745, 20, 535 is 5.

Therefore, GCD of numbers 200, 745, 20, 535 is 5

Given Input Data is 200, 745, 20, 535

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

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 535 is 5 x 107

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(200, 745) = 29800

GCD(200, 745) = ( 200 x 745 ) / 29800

GCD(200, 745) = 149000 / 29800

GCD(200, 745) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 20

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

LCM(5, 20) = 20

GCD(5, 20) = ( 5 x 20 ) / 20

GCD(5, 20) = 100 / 20

GCD(5, 20) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 535

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

LCM(5, 535) = 535

GCD(5, 535) = ( 5 x 535 ) / 535

GCD(5, 535) = 2675 / 535

GCD(5, 535) = 5

GCD of 200, 745, 20, 535 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 600, 749, 36, 345
• GCD of 925, 836, 53, 495
• GCD of 360, 172, 91, 448
• GCD of 418, 987, 45, 201
• GCD of 423, 325, 90, 732

1. What is the GCD of 200, 745, 20, 535?

GCD of 200, 745, 20, 535 is 5

2. Where do I get the detailed procedure to find GCD of 200, 745, 20, 535?

You can find a detailed procedure to find GCD of 200, 745, 20, 535 on our page.

3. How to find GCD of 200, 745, 20, 535 on a calculator?

You can find the GCD of 200, 745, 20, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.