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 60, 499, 665, 758 i.e. 1 largest integer that divides all the numbers equally.
GCD of 60, 499, 665, 758 is 1
GCD(60, 499, 665, 758) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 499, 665, 758 is 1
GCD(60, 499, 665, 758) = 1
Given Input numbers are 60, 499, 665, 758
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Greatest Common Divisior
We found the divisors of 60, 499, 665, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 499, 665, 758 is 1.
Therefore, GCD of numbers 60, 499, 665, 758 is 1
Given Input Data is 60, 499, 665, 758
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 499 is 499
Prime Factorization of 665 is 5 x 7 x 19
Prime Factorization of 758 is 2 x 379
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(60, 499) = 29940
GCD(60, 499) = ( 60 x 499 ) / 29940
GCD(60, 499) = 29940 / 29940
GCD(60, 499) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 665
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 665) = 665
GCD(1, 665) = ( 1 x 665 ) / 665
GCD(1, 665) = 665 / 665
GCD(1, 665) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 758
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 758) = 758
GCD(1, 758) = ( 1 x 758 ) / 758
GCD(1, 758) = 758 / 758
GCD(1, 758) = 1
GCD of 60, 499, 665, 758 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 60, 499, 665, 758?
GCD of 60, 499, 665, 758 is 1
2. Where do I get the detailed procedure to find GCD of 60, 499, 665, 758?
You can find a detailed procedure to find GCD of 60, 499, 665, 758 on our page.
3. How to find GCD of 60, 499, 665, 758 on a calculator?
You can find the GCD of 60, 499, 665, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.