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, 741, 96, 279 i.e. 1 largest integer that divides all the numbers equally.
GCD of 220, 741, 96, 279 is 1
GCD(220, 741, 96, 279) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 220, 741, 96, 279 is 1
GCD(220, 741, 96, 279) = 1
Given Input numbers are 220, 741, 96, 279
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 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Greatest Common Divisior
We found the divisors of 220, 741, 96, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 741, 96, 279 is 1.
Therefore, GCD of numbers 220, 741, 96, 279 is 1
Given Input Data is 220, 741, 96, 279
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 741 is 3 x 13 x 19
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 279 is 3 x 3 x 31
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, 741) = 163020
GCD(220, 741) = ( 220 x 741 ) / 163020
GCD(220, 741) = 163020 / 163020
GCD(220, 741) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 279) = 279
GCD(1, 279) = ( 1 x 279 ) / 279
GCD(1, 279) = 279 / 279
GCD(1, 279) = 1
GCD of 220, 741, 96, 279 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 220, 741, 96, 279?
GCD of 220, 741, 96, 279 is 1
2. Where do I get the detailed procedure to find GCD of 220, 741, 96, 279?
You can find a detailed procedure to find GCD of 220, 741, 96, 279 on our page.
3. How to find GCD of 220, 741, 96, 279 on a calculator?
You can find the GCD of 220, 741, 96, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.