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, 935, 55, 750 i.e. 5 largest integer that divides all the numbers equally.
GCD of 775, 935, 55, 750 is 5
GCD(775, 935, 55, 750) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 775, 935, 55, 750 is 5
GCD(775, 935, 55, 750) = 5
Given Input numbers are 775, 935, 55, 750
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 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Greatest Common Divisior
We found the divisors of 775, 935, 55, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 935, 55, 750 is 5.
Therefore, GCD of numbers 775, 935, 55, 750 is 5
Given Input Data is 775, 935, 55, 750
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 935 is 5 x 11 x 17
Prime Factorization of 55 is 5 x 11
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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, 935) = 144925
GCD(775, 935) = ( 775 x 935 ) / 144925
GCD(775, 935) = 724625 / 144925
GCD(775, 935) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 55) = 55
GCD(5, 55) = ( 5 x 55 ) / 55
GCD(5, 55) = 275 / 55
GCD(5, 55) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 750
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 750) = 750
GCD(5, 750) = ( 5 x 750 ) / 750
GCD(5, 750) = 3750 / 750
GCD(5, 750) = 5
GCD of 775, 935, 55, 750 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 775, 935, 55, 750?
GCD of 775, 935, 55, 750 is 5
2. Where do I get the detailed procedure to find GCD of 775, 935, 55, 750?
You can find a detailed procedure to find GCD of 775, 935, 55, 750 on our page.
3. How to find GCD of 775, 935, 55, 750 on a calculator?
You can find the GCD of 775, 935, 55, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.