GCD of 959, 434, 791, 200 Calculator

Given Input numbers are 959, 434, 791, 200

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

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 434

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

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

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

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 959, 434, 791, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 959, 434, 791, 200 is 1.

Therefore, GCD of numbers 959, 434, 791, 200 is 1

Given Input Data is 959, 434, 791, 200

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

Prime Factorization of 959 is 7 x 137

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 791 is 7 x 113

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

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(959, 434) = 59458

GCD(959, 434) = ( 959 x 434 ) / 59458

GCD(959, 434) = 416206 / 59458

GCD(959, 434) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 791

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

LCM(7, 791) = 791

GCD(7, 791) = ( 7 x 791 ) / 791

GCD(7, 791) = 5537 / 791

GCD(7, 791) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 200

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

LCM(7, 200) = 1400

GCD(7, 200) = ( 7 x 200 ) / 1400

GCD(7, 200) = 1400 / 1400

GCD(7, 200) = 1

GCD of 959, 434, 791, 200 is 1

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1. What is the GCD of 959, 434, 791, 200?

GCD of 959, 434, 791, 200 is 1

2. Where do I get the detailed procedure to find GCD of 959, 434, 791, 200?

You can find a detailed procedure to find GCD of 959, 434, 791, 200 on our page.

3. How to find GCD of 959, 434, 791, 200 on a calculator?

You can find the GCD of 959, 434, 791, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.