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 770, 255, 385 i.e. 5 largest integer that divides all the numbers equally.
GCD of 770, 255, 385 is 5
GCD(770, 255, 385) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 770, 255, 385 is 5
GCD(770, 255, 385) = 5
Given Input numbers are 770, 255, 385
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Greatest Common Divisior
We found the divisors of 770, 255, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 255, 385 is 5.
Therefore, GCD of numbers 770, 255, 385 is 5
Given Input Data is 770, 255, 385
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 385 is 5 x 7 x 11
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(770, 255) = 39270
GCD(770, 255) = ( 770 x 255 ) / 39270
GCD(770, 255) = 196350 / 39270
GCD(770, 255) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 385) = 385
GCD(5, 385) = ( 5 x 385 ) / 385
GCD(5, 385) = 1925 / 385
GCD(5, 385) = 5
GCD of 770, 255, 385 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 770, 255, 385?
GCD of 770, 255, 385 is 5
2. Where do I get the detailed procedure to find GCD of 770, 255, 385?
You can find a detailed procedure to find GCD of 770, 255, 385 on our page.
3. How to find GCD of 770, 255, 385 on a calculator?
You can find the GCD of 770, 255, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.