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 354, 189, 799, 248 i.e. 1 largest integer that divides all the numbers equally.
GCD of 354, 189, 799, 248 is 1
GCD(354, 189, 799, 248) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 354, 189, 799, 248 is 1
GCD(354, 189, 799, 248) = 1
Given Input numbers are 354, 189, 799, 248
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Greatest Common Divisior
We found the divisors of 354, 189, 799, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 189, 799, 248 is 1.
Therefore, GCD of numbers 354, 189, 799, 248 is 1
Given Input Data is 354, 189, 799, 248
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 799 is 17 x 47
Prime Factorization of 248 is 2 x 2 x 2 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(354, 189) = 22302
GCD(354, 189) = ( 354 x 189 ) / 22302
GCD(354, 189) = 66906 / 22302
GCD(354, 189) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 799
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 799) = 2397
GCD(3, 799) = ( 3 x 799 ) / 2397
GCD(3, 799) = 2397 / 2397
GCD(3, 799) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 248
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 248) = 248
GCD(1, 248) = ( 1 x 248 ) / 248
GCD(1, 248) = 248 / 248
GCD(1, 248) = 1
GCD of 354, 189, 799, 248 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 354, 189, 799, 248?
GCD of 354, 189, 799, 248 is 1
2. Where do I get the detailed procedure to find GCD of 354, 189, 799, 248?
You can find a detailed procedure to find GCD of 354, 189, 799, 248 on our page.
3. How to find GCD of 354, 189, 799, 248 on a calculator?
You can find the GCD of 354, 189, 799, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.