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, 500, 305, 479 i.e. 1 largest integer that divides all the numbers equally.
GCD of 760, 500, 305, 479 is 1
GCD(760, 500, 305, 479) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 760, 500, 305, 479 is 1
GCD(760, 500, 305, 479) = 1
Given Input numbers are 760, 500, 305, 479
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 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Divisors of 479
List of positive integer divisors of 479 that divides 479 without a remainder.
1, 479
Greatest Common Divisior
We found the divisors of 760, 500, 305, 479 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 500, 305, 479 is 1.
Therefore, GCD of numbers 760, 500, 305, 479 is 1
Given Input Data is 760, 500, 305, 479
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 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 305 is 5 x 61
Prime Factorization of 479 is 479
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, 500) = 19000
GCD(760, 500) = ( 760 x 500 ) / 19000
GCD(760, 500) = 380000 / 19000
GCD(760, 500) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 305
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 305) = 1220
GCD(20, 305) = ( 20 x 305 ) / 1220
GCD(20, 305) = 6100 / 1220
GCD(20, 305) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 479
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 479) = 2395
GCD(5, 479) = ( 5 x 479 ) / 2395
GCD(5, 479) = 2395 / 2395
GCD(5, 479) = 1
GCD of 760, 500, 305, 479 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 760, 500, 305, 479?
GCD of 760, 500, 305, 479 is 1
2. Where do I get the detailed procedure to find GCD of 760, 500, 305, 479?
You can find a detailed procedure to find GCD of 760, 500, 305, 479 on our page.
3. How to find GCD of 760, 500, 305, 479 on a calculator?
You can find the GCD of 760, 500, 305, 479 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.