GCD of 700, 441, 289, 500 Calculator

Given Input numbers are 700, 441, 289, 500

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

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 700, 441, 289, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 441, 289, 500 is 1.

Therefore, GCD of numbers 700, 441, 289, 500 is 1

Given Input Data is 700, 441, 289, 500

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 289 is 17 x 17

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

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(700, 441) = 44100

GCD(700, 441) = ( 700 x 441 ) / 44100

GCD(700, 441) = 308700 / 44100

GCD(700, 441) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 289

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

LCM(7, 289) = 2023

GCD(7, 289) = ( 7 x 289 ) / 2023

GCD(7, 289) = 2023 / 2023

GCD(7, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 700, 441, 289, 500 is 1

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1. What is the GCD of 700, 441, 289, 500?

GCD of 700, 441, 289, 500 is 1

2. Where do I get the detailed procedure to find GCD of 700, 441, 289, 500?

You can find a detailed procedure to find GCD of 700, 441, 289, 500 on our page.

3. How to find GCD of 700, 441, 289, 500 on a calculator?

You can find the GCD of 700, 441, 289, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.