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 807, 664, 34, 255 i.e. 1 largest integer that divides all the numbers equally.
GCD of 807, 664, 34, 255 is 1
GCD(807, 664, 34, 255) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 807, 664, 34, 255 is 1
GCD(807, 664, 34, 255) = 1
Given Input numbers are 807, 664, 34, 255
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 255
List of positive integer divisors of 255 that divides 255 without a remainder.
1, 3, 5, 15, 17, 51, 85, 255
Greatest Common Divisior
We found the divisors of 807, 664, 34, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 664, 34, 255 is 1.
Therefore, GCD of numbers 807, 664, 34, 255 is 1
Given Input Data is 807, 664, 34, 255
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 807 is 3 x 269
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 34 is 2 x 17
Prime Factorization of 255 is 3 x 5 x 17
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(807, 664) = 535848
GCD(807, 664) = ( 807 x 664 ) / 535848
GCD(807, 664) = 535848 / 535848
GCD(807, 664) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 34) = 34
GCD(1, 34) = ( 1 x 34 ) / 34
GCD(1, 34) = 34 / 34
GCD(1, 34) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 255
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 255) = 255
GCD(1, 255) = ( 1 x 255 ) / 255
GCD(1, 255) = 255 / 255
GCD(1, 255) = 1
GCD of 807, 664, 34, 255 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 807, 664, 34, 255?
GCD of 807, 664, 34, 255 is 1
2. Where do I get the detailed procedure to find GCD of 807, 664, 34, 255?
You can find a detailed procedure to find GCD of 807, 664, 34, 255 on our page.
3. How to find GCD of 807, 664, 34, 255 on a calculator?
You can find the GCD of 807, 664, 34, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.