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 765, 352, 99, 877 i.e. 1 largest integer that divides all the numbers equally.
GCD of 765, 352, 99, 877 is 1
GCD(765, 352, 99, 877) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 765, 352, 99, 877 is 1
GCD(765, 352, 99, 877) = 1
Given Input numbers are 765, 352, 99, 877
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 877
List of positive integer divisors of 877 that divides 877 without a remainder.
1, 877
Greatest Common Divisior
We found the divisors of 765, 352, 99, 877 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 352, 99, 877 is 1.
Therefore, GCD of numbers 765, 352, 99, 877 is 1
Given Input Data is 765, 352, 99, 877
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 877 is 877
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(765, 352) = 269280
GCD(765, 352) = ( 765 x 352 ) / 269280
GCD(765, 352) = 269280 / 269280
GCD(765, 352) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 877
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 877) = 877
GCD(1, 877) = ( 1 x 877 ) / 877
GCD(1, 877) = 877 / 877
GCD(1, 877) = 1
GCD of 765, 352, 99, 877 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 765, 352, 99, 877?
GCD of 765, 352, 99, 877 is 1
2. Where do I get the detailed procedure to find GCD of 765, 352, 99, 877?
You can find a detailed procedure to find GCD of 765, 352, 99, 877 on our page.
3. How to find GCD of 765, 352, 99, 877 on a calculator?
You can find the GCD of 765, 352, 99, 877 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.