GCD of 802, 580, 428, 850 Calculator

Given Input numbers are 802, 580, 428, 850

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 802, 580, 428, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 580, 428, 850 is 2.

Therefore, GCD of numbers 802, 580, 428, 850 is 2

Given Input Data is 802, 580, 428, 850

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 850 is 2 x 5 x 5 x 17

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(802, 580) = 232580

GCD(802, 580) = ( 802 x 580 ) / 232580

GCD(802, 580) = 465160 / 232580

GCD(802, 580) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 428

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

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

GCD(2, 428) = 856 / 428

GCD(2, 428) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 850

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

LCM(2, 850) = 850

GCD(2, 850) = ( 2 x 850 ) / 850

GCD(2, 850) = 1700 / 850

GCD(2, 850) = 2

GCD of 802, 580, 428, 850 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 537, 752, 793
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• GCD of 669, 384, 427, 894

1. What is the GCD of 802, 580, 428, 850?

GCD of 802, 580, 428, 850 is 2

2. Where do I get the detailed procedure to find GCD of 802, 580, 428, 850?

You can find a detailed procedure to find GCD of 802, 580, 428, 850 on our page.

3. How to find GCD of 802, 580, 428, 850 on a calculator?

You can find the GCD of 802, 580, 428, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.