GCD of 67, 820, 801, 900 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 67, 820, 801, 900 i.e. 1 largest integer that divides all the numbers equally.

GCD of 67, 820, 801, 900 is 1

GCD(67, 820, 801, 900) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 67, 820, 801, 900 is 1

GCD(67, 820, 801, 900) = 1

GCD of 67,820,801,900 Calculator

GCDof 67,820,801,900 is 1

Given Input numbers are 67, 820, 801, 900

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

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 67, 820, 801, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 820, 801, 900 is 1.

Therefore, GCD of numbers 67, 820, 801, 900 is 1

Finding GCD of 67, 820, 801, 900 using Prime Factorization

Given Input Data is 67, 820, 801, 900

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

Prime Factorization of 67 is 67

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 801 is 3 x 3 x 89

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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

Finding GCD of 67, 820, 801, 900 using LCM Formula

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(67, 820) = 54940

GCD(67, 820) = ( 67 x 820 ) / 54940

GCD(67, 820) = 54940 / 54940

GCD(67, 820) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 801

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

LCM(1, 801) = 801

GCD(1, 801) = ( 1 x 801 ) / 801

GCD(1, 801) = 801 / 801

GCD(1, 801) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 67, 820, 801, 900 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 67, 820, 801, 900

1. What is the GCD of 67, 820, 801, 900?

GCD of 67, 820, 801, 900 is 1


2. Where do I get the detailed procedure to find GCD of 67, 820, 801, 900?

You can find a detailed procedure to find GCD of 67, 820, 801, 900 on our page.


3. How to find GCD of 67, 820, 801, 900 on a calculator?

You can find the GCD of 67, 820, 801, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.