GCD of 110, 830, 400, 300 Calculator

Given Input numbers are 110, 830, 400, 300

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

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

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 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 110, 830, 400, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 110, 830, 400, 300 is 10.

Therefore, GCD of numbers 110, 830, 400, 300 is 10

Given Input Data is 110, 830, 400, 300

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

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Highest common occurrences in the given inputs are 2¹ x 5¹

Multiplying them we get the GCD as 10

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(110, 830) = 9130

GCD(110, 830) = ( 110 x 830 ) / 9130

GCD(110, 830) = 91300 / 9130

GCD(110, 830) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 400

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

LCM(10, 400) = 400

GCD(10, 400) = ( 10 x 400 ) / 400

GCD(10, 400) = 4000 / 400

GCD(10, 400) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 300

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

LCM(10, 300) = 300

GCD(10, 300) = ( 10 x 300 ) / 300

GCD(10, 300) = 3000 / 300

GCD(10, 300) = 10

GCD of 110, 830, 400, 300 is 10

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• GCD of 600, 180, 988, 638
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• GCD of 184, 131, 727, 719

1. What is the GCD of 110, 830, 400, 300?

GCD of 110, 830, 400, 300 is 10

2. Where do I get the detailed procedure to find GCD of 110, 830, 400, 300?

You can find a detailed procedure to find GCD of 110, 830, 400, 300 on our page.

3. How to find GCD of 110, 830, 400, 300 on a calculator?

You can find the GCD of 110, 830, 400, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.