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 775, 902, 152, 899 i.e. 1 largest integer that divides all the numbers equally.
GCD of 775, 902, 152, 899 is 1
GCD(775, 902, 152, 899) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 775, 902, 152, 899 is 1
GCD(775, 902, 152, 899) = 1
Given Input numbers are 775, 902, 152, 899
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Greatest Common Divisior
We found the divisors of 775, 902, 152, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 902, 152, 899 is 1.
Therefore, GCD of numbers 775, 902, 152, 899 is 1
Given Input Data is 775, 902, 152, 899
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 899 is 29 x 31
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(775, 902) = 699050
GCD(775, 902) = ( 775 x 902 ) / 699050
GCD(775, 902) = 699050 / 699050
GCD(775, 902) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
GCD(1, 152) = 152 / 152
GCD(1, 152) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 899
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 899) = 899
GCD(1, 899) = ( 1 x 899 ) / 899
GCD(1, 899) = 899 / 899
GCD(1, 899) = 1
GCD of 775, 902, 152, 899 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 775, 902, 152, 899?
GCD of 775, 902, 152, 899 is 1
2. Where do I get the detailed procedure to find GCD of 775, 902, 152, 899?
You can find a detailed procedure to find GCD of 775, 902, 152, 899 on our page.
3. How to find GCD of 775, 902, 152, 899 on a calculator?
You can find the GCD of 775, 902, 152, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.