GCD of 830, 200, 814, 975 Calculator

Given Input numbers are 830, 200, 814, 975

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

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

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 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 830, 200, 814, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 200, 814, 975 is 1.

Therefore, GCD of numbers 830, 200, 814, 975 is 1

Given Input Data is 830, 200, 814, 975

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

Prime Factorization of 830 is 2 x 5 x 83

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 975 is 3 x 5 x 5 x 13

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(830, 200) = 16600

GCD(830, 200) = ( 830 x 200 ) / 16600

GCD(830, 200) = 166000 / 16600

GCD(830, 200) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 814

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

LCM(10, 814) = 4070

GCD(10, 814) = ( 10 x 814 ) / 4070

GCD(10, 814) = 8140 / 4070

GCD(10, 814) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 975

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

LCM(2, 975) = 1950

GCD(2, 975) = ( 2 x 975 ) / 1950

GCD(2, 975) = 1950 / 1950

GCD(2, 975) = 1

GCD of 830, 200, 814, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 283, 746, 580, 368
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• GCD of 991, 579, 687, 839

1. What is the GCD of 830, 200, 814, 975?

GCD of 830, 200, 814, 975 is 1

2. Where do I get the detailed procedure to find GCD of 830, 200, 814, 975?

You can find a detailed procedure to find GCD of 830, 200, 814, 975 on our page.

3. How to find GCD of 830, 200, 814, 975 on a calculator?

You can find the GCD of 830, 200, 814, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.