GCD of 704, 522, 50, 250 Calculator

Given Input numbers are 704, 522, 50, 250

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 250

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

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

Greatest Common Divisior

We found the divisors of 704, 522, 50, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 522, 50, 250 is 2.

Therefore, GCD of numbers 704, 522, 50, 250 is 2

Given Input Data is 704, 522, 50, 250

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 250 is 2 x 5 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(704, 522) = 183744

GCD(704, 522) = ( 704 x 522 ) / 183744

GCD(704, 522) = 367488 / 183744

GCD(704, 522) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 250

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

LCM(2, 250) = 250

GCD(2, 250) = ( 2 x 250 ) / 250

GCD(2, 250) = 500 / 250

GCD(2, 250) = 2

GCD of 704, 522, 50, 250 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 436, 65, 816
• GCD of 379, 250, 88, 646
• GCD of 532, 810, 52, 839
• GCD of 635, 636, 74, 662
• GCD of 402, 960, 24, 496

1. What is the GCD of 704, 522, 50, 250?

GCD of 704, 522, 50, 250 is 2

2. Where do I get the detailed procedure to find GCD of 704, 522, 50, 250?

You can find a detailed procedure to find GCD of 704, 522, 50, 250 on our page.

3. How to find GCD of 704, 522, 50, 250 on a calculator?

You can find the GCD of 704, 522, 50, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.