GCD of 696, 250, 780, 446 Calculator

Given Input numbers are 696, 250, 780, 446

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 696, 250, 780, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 250, 780, 446 is 2.

Therefore, GCD of numbers 696, 250, 780, 446 is 2

Given Input Data is 696, 250, 780, 446

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 446 is 2 x 223

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(696, 250) = 87000

GCD(696, 250) = ( 696 x 250 ) / 87000

GCD(696, 250) = 174000 / 87000

GCD(696, 250) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 780

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

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

GCD(2, 780) = 1560 / 780

GCD(2, 780) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 446

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

LCM(2, 446) = 446

GCD(2, 446) = ( 2 x 446 ) / 446

GCD(2, 446) = 892 / 446

GCD(2, 446) = 2

GCD of 696, 250, 780, 446 is 2

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1. What is the GCD of 696, 250, 780, 446?

GCD of 696, 250, 780, 446 is 2

2. Where do I get the detailed procedure to find GCD of 696, 250, 780, 446?

You can find a detailed procedure to find GCD of 696, 250, 780, 446 on our page.

3. How to find GCD of 696, 250, 780, 446 on a calculator?

You can find the GCD of 696, 250, 780, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.