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 675, 179, 400, 764 i.e. 1 largest integer that divides all the numbers equally.
GCD of 675, 179, 400, 764 is 1
GCD(675, 179, 400, 764) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 675, 179, 400, 764 is 1
GCD(675, 179, 400, 764) = 1
Given Input numbers are 675, 179, 400, 764
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Greatest Common Divisior
We found the divisors of 675, 179, 400, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 179, 400, 764 is 1.
Therefore, GCD of numbers 675, 179, 400, 764 is 1
Given Input Data is 675, 179, 400, 764
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 179 is 179
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 764 is 2 x 2 x 191
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(675, 179) = 120825
GCD(675, 179) = ( 675 x 179 ) / 120825
GCD(675, 179) = 120825 / 120825
GCD(675, 179) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
GCD(1, 400) = 400 / 400
GCD(1, 400) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
GCD(1, 764) = 764 / 764
GCD(1, 764) = 1
GCD of 675, 179, 400, 764 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 675, 179, 400, 764?
GCD of 675, 179, 400, 764 is 1
2. Where do I get the detailed procedure to find GCD of 675, 179, 400, 764?
You can find a detailed procedure to find GCD of 675, 179, 400, 764 on our page.
3. How to find GCD of 675, 179, 400, 764 on a calculator?
You can find the GCD of 675, 179, 400, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.