GCD of 200, 137, 87, 434 Calculator

Given Input numbers are 200, 137, 87, 434

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 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 200, 137, 87, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 137, 87, 434 is 1.

Therefore, GCD of numbers 200, 137, 87, 434 is 1

Given Input Data is 200, 137, 87, 434

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 137 is 137

Prime Factorization of 87 is 3 x 29

Prime Factorization of 434 is 2 x 7 x 31

The above numbers do not have any common prime factor. So GCD is 1

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, 137) = 27400

GCD(200, 137) = ( 200 x 137 ) / 27400

GCD(200, 137) = 27400 / 27400

GCD(200, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 200, 137, 87, 434 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 109, 734, 90, 643
• GCD of 275, 646, 15, 141
• GCD of 207, 299, 84, 688
• GCD of 368, 782, 65, 647
• GCD of 610, 287, 87, 197

1. What is the GCD of 200, 137, 87, 434?

GCD of 200, 137, 87, 434 is 1

2. Where do I get the detailed procedure to find GCD of 200, 137, 87, 434?

You can find a detailed procedure to find GCD of 200, 137, 87, 434 on our page.

3. How to find GCD of 200, 137, 87, 434 on a calculator?

You can find the GCD of 200, 137, 87, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.