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 820, 420, 55, 696 i.e. 1 largest integer that divides all the numbers equally.
GCD of 820, 420, 55, 696 is 1
GCD(820, 420, 55, 696) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 820, 420, 55, 696 is 1
GCD(820, 420, 55, 696) = 1
Given Input numbers are 820, 420, 55, 696
To find the GCD of numbers using factoring list out all the divisors of each number
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 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Greatest Common Divisior
We found the divisors of 820, 420, 55, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 420, 55, 696 is 1.
Therefore, GCD of numbers 820, 420, 55, 696 is 1
Given Input Data is 820, 420, 55, 696
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 55 is 5 x 11
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
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(820, 420) = 17220
GCD(820, 420) = ( 820 x 420 ) / 17220
GCD(820, 420) = 344400 / 17220
GCD(820, 420) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 55) = 220
GCD(20, 55) = ( 20 x 55 ) / 220
GCD(20, 55) = 1100 / 220
GCD(20, 55) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 696
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 696) = 3480
GCD(5, 696) = ( 5 x 696 ) / 3480
GCD(5, 696) = 3480 / 3480
GCD(5, 696) = 1
GCD of 820, 420, 55, 696 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 820, 420, 55, 696?
GCD of 820, 420, 55, 696 is 1
2. Where do I get the detailed procedure to find GCD of 820, 420, 55, 696?
You can find a detailed procedure to find GCD of 820, 420, 55, 696 on our page.
3. How to find GCD of 820, 420, 55, 696 on a calculator?
You can find the GCD of 820, 420, 55, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.