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 274, 248, 195, 859 i.e. 1 largest integer that divides all the numbers equally.
GCD of 274, 248, 195, 859 is 1
GCD(274, 248, 195, 859) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 274, 248, 195, 859 is 1
GCD(274, 248, 195, 859) = 1
Given Input numbers are 274, 248, 195, 859
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
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 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Greatest Common Divisior
We found the divisors of 274, 248, 195, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 248, 195, 859 is 1.
Therefore, GCD of numbers 274, 248, 195, 859 is 1
Given Input Data is 274, 248, 195, 859
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 274 is 2 x 137
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 859 is 859
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(274, 248) = 33976
GCD(274, 248) = ( 274 x 248 ) / 33976
GCD(274, 248) = 67952 / 33976
GCD(274, 248) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 195
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 195) = 390
GCD(2, 195) = ( 2 x 195 ) / 390
GCD(2, 195) = 390 / 390
GCD(2, 195) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 859
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 859) = 859
GCD(1, 859) = ( 1 x 859 ) / 859
GCD(1, 859) = 859 / 859
GCD(1, 859) = 1
GCD of 274, 248, 195, 859 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 274, 248, 195, 859?
GCD of 274, 248, 195, 859 is 1
2. Where do I get the detailed procedure to find GCD of 274, 248, 195, 859?
You can find a detailed procedure to find GCD of 274, 248, 195, 859 on our page.
3. How to find GCD of 274, 248, 195, 859 on a calculator?
You can find the GCD of 274, 248, 195, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.