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 248, 892, 89, 279 i.e. 1 largest integer that divides all the numbers equally.
GCD of 248, 892, 89, 279 is 1
GCD(248, 892, 89, 279) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 248, 892, 89, 279 is 1
GCD(248, 892, 89, 279) = 1
Given Input numbers are 248, 892, 89, 279
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
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 248, 892, 89, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 892, 89, 279 is 1.
Therefore, GCD of numbers 248, 892, 89, 279 is 1
Given Input Data is 248, 892, 89, 279
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 892 is 2 x 2 x 223
Prime Factorization of 89 is 89
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(248, 892) = 55304
GCD(248, 892) = ( 248 x 892 ) / 55304
GCD(248, 892) = 221216 / 55304
GCD(248, 892) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 89) = 356
GCD(4, 89) = ( 4 x 89 ) / 356
GCD(4, 89) = 356 / 356
GCD(4, 89) = 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 248, 892, 89, 279 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 248, 892, 89, 279?
GCD of 248, 892, 89, 279 is 1
2. Where do I get the detailed procedure to find GCD of 248, 892, 89, 279?
You can find a detailed procedure to find GCD of 248, 892, 89, 279 on our page.
3. How to find GCD of 248, 892, 89, 279 on a calculator?
You can find the GCD of 248, 892, 89, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.