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 148, 269, 51, 797 i.e. 1 largest integer that divides all the numbers equally.
GCD of 148, 269, 51, 797 is 1
GCD(148, 269, 51, 797) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 148, 269, 51, 797 is 1
GCD(148, 269, 51, 797) = 1
Given Input numbers are 148, 269, 51, 797
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Greatest Common Divisior
We found the divisors of 148, 269, 51, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 269, 51, 797 is 1.
Therefore, GCD of numbers 148, 269, 51, 797 is 1
Given Input Data is 148, 269, 51, 797
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 269 is 269
Prime Factorization of 51 is 3 x 17
Prime Factorization of 797 is 797
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(148, 269) = 39812
GCD(148, 269) = ( 148 x 269 ) / 39812
GCD(148, 269) = 39812 / 39812
GCD(148, 269) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 797
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 797) = 797
GCD(1, 797) = ( 1 x 797 ) / 797
GCD(1, 797) = 797 / 797
GCD(1, 797) = 1
GCD of 148, 269, 51, 797 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 148, 269, 51, 797?
GCD of 148, 269, 51, 797 is 1
2. Where do I get the detailed procedure to find GCD of 148, 269, 51, 797?
You can find a detailed procedure to find GCD of 148, 269, 51, 797 on our page.
3. How to find GCD of 148, 269, 51, 797 on a calculator?
You can find the GCD of 148, 269, 51, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.