GCD of 832, 280, 786, 300 Calculator

Given Input numbers are 832, 280, 786, 300

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

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

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 832, 280, 786, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 280, 786, 300 is 2.

Therefore, GCD of numbers 832, 280, 786, 300 is 2

Given Input Data is 832, 280, 786, 300

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

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 786 is 2 x 3 x 131

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(832, 280) = 29120

GCD(832, 280) = ( 832 x 280 ) / 29120

GCD(832, 280) = 232960 / 29120

GCD(832, 280) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 786

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

LCM(8, 786) = 3144

GCD(8, 786) = ( 8 x 786 ) / 3144

GCD(8, 786) = 6288 / 3144

GCD(8, 786) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 300

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

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

GCD(2, 300) = 600 / 300

GCD(2, 300) = 2

GCD of 832, 280, 786, 300 is 2

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1. What is the GCD of 832, 280, 786, 300?

GCD of 832, 280, 786, 300 is 2

2. Where do I get the detailed procedure to find GCD of 832, 280, 786, 300?

You can find a detailed procedure to find GCD of 832, 280, 786, 300 on our page.

3. How to find GCD of 832, 280, 786, 300 on a calculator?

You can find the GCD of 832, 280, 786, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.