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 220, 551, 48, 878 i.e. 1 largest integer that divides all the numbers equally.
GCD of 220, 551, 48, 878 is 1
GCD(220, 551, 48, 878) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 220, 551, 48, 878 is 1
GCD(220, 551, 48, 878) = 1
Given Input numbers are 220, 551, 48, 878
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Greatest Common Divisior
We found the divisors of 220, 551, 48, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 551, 48, 878 is 1.
Therefore, GCD of numbers 220, 551, 48, 878 is 1
Given Input Data is 220, 551, 48, 878
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 551 is 19 x 29
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 878 is 2 x 439
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(220, 551) = 121220
GCD(220, 551) = ( 220 x 551 ) / 121220
GCD(220, 551) = 121220 / 121220
GCD(220, 551) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
GCD(1, 48) = 48 / 48
GCD(1, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 878
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 878) = 878
GCD(1, 878) = ( 1 x 878 ) / 878
GCD(1, 878) = 878 / 878
GCD(1, 878) = 1
GCD of 220, 551, 48, 878 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 220, 551, 48, 878?
GCD of 220, 551, 48, 878 is 1
2. Where do I get the detailed procedure to find GCD of 220, 551, 48, 878?
You can find a detailed procedure to find GCD of 220, 551, 48, 878 on our page.
3. How to find GCD of 220, 551, 48, 878 on a calculator?
You can find the GCD of 220, 551, 48, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.