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 255, 762, 484, 348 i.e. 1 largest integer that divides all the numbers equally.
GCD of 255, 762, 484, 348 is 1
GCD(255, 762, 484, 348) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 255, 762, 484, 348 is 1
GCD(255, 762, 484, 348) = 1
Given Input numbers are 255, 762, 484, 348
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Greatest Common Divisior
We found the divisors of 255, 762, 484, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 762, 484, 348 is 1.
Therefore, GCD of numbers 255, 762, 484, 348 is 1
Given Input Data is 255, 762, 484, 348
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 348 is 2 x 2 x 3 x 29
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(255, 762) = 64770
GCD(255, 762) = ( 255 x 762 ) / 64770
GCD(255, 762) = 194310 / 64770
GCD(255, 762) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 484
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 484) = 1452
GCD(3, 484) = ( 3 x 484 ) / 1452
GCD(3, 484) = 1452 / 1452
GCD(3, 484) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 348
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 348) = 348
GCD(1, 348) = ( 1 x 348 ) / 348
GCD(1, 348) = 348 / 348
GCD(1, 348) = 1
GCD of 255, 762, 484, 348 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 255, 762, 484, 348?
GCD of 255, 762, 484, 348 is 1
2. Where do I get the detailed procedure to find GCD of 255, 762, 484, 348?
You can find a detailed procedure to find GCD of 255, 762, 484, 348 on our page.
3. How to find GCD of 255, 762, 484, 348 on a calculator?
You can find the GCD of 255, 762, 484, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.