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 75, 485, 705, 416 i.e. 1 largest integer that divides all the numbers equally.
GCD of 75, 485, 705, 416 is 1
GCD(75, 485, 705, 416) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 75, 485, 705, 416 is 1
GCD(75, 485, 705, 416) = 1
Given Input numbers are 75, 485, 705, 416
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 485
List of positive integer divisors of 485 that divides 485 without a remainder.
1, 5, 97, 485
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Greatest Common Divisior
We found the divisors of 75, 485, 705, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 485, 705, 416 is 1.
Therefore, GCD of numbers 75, 485, 705, 416 is 1
Given Input Data is 75, 485, 705, 416
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 485 is 5 x 97
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
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(75, 485) = 7275
GCD(75, 485) = ( 75 x 485 ) / 7275
GCD(75, 485) = 36375 / 7275
GCD(75, 485) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 705
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 705) = 705
GCD(5, 705) = ( 5 x 705 ) / 705
GCD(5, 705) = 3525 / 705
GCD(5, 705) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 416
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 416) = 2080
GCD(5, 416) = ( 5 x 416 ) / 2080
GCD(5, 416) = 2080 / 2080
GCD(5, 416) = 1
GCD of 75, 485, 705, 416 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 75, 485, 705, 416?
GCD of 75, 485, 705, 416 is 1
2. Where do I get the detailed procedure to find GCD of 75, 485, 705, 416?
You can find a detailed procedure to find GCD of 75, 485, 705, 416 on our page.
3. How to find GCD of 75, 485, 705, 416 on a calculator?
You can find the GCD of 75, 485, 705, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.