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 numbers 67, 820, 801, 900 is 1
GCD(67, 820, 801, 900) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.