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 762, 240, 81, 484 i.e. 1 largest integer that divides all the numbers equally.
GCD of 762, 240, 81, 484 is 1
GCD(762, 240, 81, 484) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 762, 240, 81, 484 is 1
GCD(762, 240, 81, 484) = 1
Given Input numbers are 762, 240, 81, 484
To find the GCD of numbers using factoring list out all the divisors of each number
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 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
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
Greatest Common Divisior
We found the divisors of 762, 240, 81, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 240, 81, 484 is 1.
Therefore, GCD of numbers 762, 240, 81, 484 is 1
Given Input Data is 762, 240, 81, 484
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 484 is 2 x 2 x 11 x 11
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(762, 240) = 30480
GCD(762, 240) = ( 762 x 240 ) / 30480
GCD(762, 240) = 182880 / 30480
GCD(762, 240) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 81) = 162
GCD(6, 81) = ( 6 x 81 ) / 162
GCD(6, 81) = 486 / 162
GCD(6, 81) = 3
Step3:
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
GCD of 762, 240, 81, 484 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 762, 240, 81, 484?
GCD of 762, 240, 81, 484 is 1
2. Where do I get the detailed procedure to find GCD of 762, 240, 81, 484?
You can find a detailed procedure to find GCD of 762, 240, 81, 484 on our page.
3. How to find GCD of 762, 240, 81, 484 on a calculator?
You can find the GCD of 762, 240, 81, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.