GCD of 800, 321, 700, 152 Calculator

Given Input numbers are 800, 321, 700, 152

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

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 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 800, 321, 700, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 321, 700, 152 is 1.

Therefore, GCD of numbers 800, 321, 700, 152 is 1

Given Input Data is 800, 321, 700, 152

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 321 is 3 x 107

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

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(800, 321) = 256800

GCD(800, 321) = ( 800 x 321 ) / 256800

GCD(800, 321) = 256800 / 256800

GCD(800, 321) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 800, 321, 700, 152 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 455, 330, 608, 829
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• GCD of 558, 365, 374, 974
• GCD of 707, 209, 741, 604
• GCD of 816, 762, 800, 247

1. What is the GCD of 800, 321, 700, 152?

GCD of 800, 321, 700, 152 is 1

2. Where do I get the detailed procedure to find GCD of 800, 321, 700, 152?

You can find a detailed procedure to find GCD of 800, 321, 700, 152 on our page.

3. How to find GCD of 800, 321, 700, 152 on a calculator?

You can find the GCD of 800, 321, 700, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.