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 750, 499, 35 i.e. 1 largest integer that divides all the numbers equally.
GCD of 750, 499, 35 is 1
GCD(750, 499, 35) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 750, 499, 35 is 1
GCD(750, 499, 35) = 1
Given Input numbers are 750, 499, 35
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Greatest Common Divisior
We found the divisors of 750, 499, 35 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 499, 35 is 1.
Therefore, GCD of numbers 750, 499, 35 is 1
Given Input Data is 750, 499, 35
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 499 is 499
Prime Factorization of 35 is 5 x 7
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(750, 499) = 374250
GCD(750, 499) = ( 750 x 499 ) / 374250
GCD(750, 499) = 374250 / 374250
GCD(750, 499) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 35) = 35
GCD(1, 35) = ( 1 x 35 ) / 35
GCD(1, 35) = 35 / 35
GCD(1, 35) = 1
GCD of 750, 499, 35 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 750, 499, 35?
GCD of 750, 499, 35 is 1
2. Where do I get the detailed procedure to find GCD of 750, 499, 35?
You can find a detailed procedure to find GCD of 750, 499, 35 on our page.
3. How to find GCD of 750, 499, 35 on a calculator?
You can find the GCD of 750, 499, 35 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.