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 575, 660, 755, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 575, 660, 755, 777 is 1
GCD(575, 660, 755, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 575, 660, 755, 777 is 1
GCD(575, 660, 755, 777) = 1
Given Input numbers are 575, 660, 755, 777
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 575, 660, 755, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 575, 660, 755, 777 is 1.
Therefore, GCD of numbers 575, 660, 755, 777 is 1
Given Input Data is 575, 660, 755, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 755 is 5 x 151
Prime Factorization of 777 is 3 x 7 x 37
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(575, 660) = 75900
GCD(575, 660) = ( 575 x 660 ) / 75900
GCD(575, 660) = 379500 / 75900
GCD(575, 660) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 755
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 755) = 755
GCD(5, 755) = ( 5 x 755 ) / 755
GCD(5, 755) = 3775 / 755
GCD(5, 755) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 777) = 3885
GCD(5, 777) = ( 5 x 777 ) / 3885
GCD(5, 777) = 3885 / 3885
GCD(5, 777) = 1
GCD of 575, 660, 755, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 575, 660, 755, 777?
GCD of 575, 660, 755, 777 is 1
2. Where do I get the detailed procedure to find GCD of 575, 660, 755, 777?
You can find a detailed procedure to find GCD of 575, 660, 755, 777 on our page.
3. How to find GCD of 575, 660, 755, 777 on a calculator?
You can find the GCD of 575, 660, 755, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.