GCD of 200, 970, 83, 347 Calculator

Given Input numbers are 200, 970, 83, 347

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 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Greatest Common Divisior

We found the divisors of 200, 970, 83, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 970, 83, 347 is 1.

Therefore, GCD of numbers 200, 970, 83, 347 is 1

Given Input Data is 200, 970, 83, 347

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 970 is 2 x 5 x 97

Prime Factorization of 83 is 83

Prime Factorization of 347 is 347

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, 970) = 19400

GCD(200, 970) = ( 200 x 970 ) / 19400

GCD(200, 970) = 194000 / 19400

GCD(200, 970) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 83

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

LCM(10, 83) = 830

GCD(10, 83) = ( 10 x 83 ) / 830

GCD(10, 83) = 830 / 830

GCD(10, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 347

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

LCM(1, 347) = 347

GCD(1, 347) = ( 1 x 347 ) / 347

GCD(1, 347) = 347 / 347

GCD(1, 347) = 1

GCD of 200, 970, 83, 347 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 664, 85, 206
• GCD of 710, 519, 87, 375
• GCD of 396, 878, 10, 810
• GCD of 914, 810, 51, 925
• GCD of 167, 302, 12, 376

1. What is the GCD of 200, 970, 83, 347?

GCD of 200, 970, 83, 347 is 1

2. Where do I get the detailed procedure to find GCD of 200, 970, 83, 347?

You can find a detailed procedure to find GCD of 200, 970, 83, 347 on our page.

3. How to find GCD of 200, 970, 83, 347 on a calculator?

You can find the GCD of 200, 970, 83, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.