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 760, 325, 861, 494 i.e. 1 largest integer that divides all the numbers equally.
GCD of 760, 325, 861, 494 is 1
GCD(760, 325, 861, 494) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 760, 325, 861, 494 is 1
GCD(760, 325, 861, 494) = 1
Given Input numbers are 760, 325, 861, 494
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Greatest Common Divisior
We found the divisors of 760, 325, 861, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 325, 861, 494 is 1.
Therefore, GCD of numbers 760, 325, 861, 494 is 1
Given Input Data is 760, 325, 861, 494
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 494 is 2 x 13 x 19
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(760, 325) = 49400
GCD(760, 325) = ( 760 x 325 ) / 49400
GCD(760, 325) = 247000 / 49400
GCD(760, 325) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 861
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 861) = 4305
GCD(5, 861) = ( 5 x 861 ) / 4305
GCD(5, 861) = 4305 / 4305
GCD(5, 861) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 494
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 494) = 494
GCD(1, 494) = ( 1 x 494 ) / 494
GCD(1, 494) = 494 / 494
GCD(1, 494) = 1
GCD of 760, 325, 861, 494 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 760, 325, 861, 494?
GCD of 760, 325, 861, 494 is 1
2. Where do I get the detailed procedure to find GCD of 760, 325, 861, 494?
You can find a detailed procedure to find GCD of 760, 325, 861, 494 on our page.
3. How to find GCD of 760, 325, 861, 494 on a calculator?
You can find the GCD of 760, 325, 861, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.