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 255, 976, 69, 757 i.e. 1 largest integer that divides all the numbers equally.
GCD of 255, 976, 69, 757 is 1
GCD(255, 976, 69, 757) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 255, 976, 69, 757 is 1
GCD(255, 976, 69, 757) = 1
Given Input numbers are 255, 976, 69, 757
To find the GCD of numbers using factoring list out all the divisors of each number
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 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Greatest Common Divisior
We found the divisors of 255, 976, 69, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 976, 69, 757 is 1.
Therefore, GCD of numbers 255, 976, 69, 757 is 1
Given Input Data is 255, 976, 69, 757
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 255 is 3 x 5 x 17
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 69 is 3 x 23
Prime Factorization of 757 is 757
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(255, 976) = 248880
GCD(255, 976) = ( 255 x 976 ) / 248880
GCD(255, 976) = 248880 / 248880
GCD(255, 976) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 757) = 757
GCD(1, 757) = ( 1 x 757 ) / 757
GCD(1, 757) = 757 / 757
GCD(1, 757) = 1
GCD of 255, 976, 69, 757 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 255, 976, 69, 757?
GCD of 255, 976, 69, 757 is 1
2. Where do I get the detailed procedure to find GCD of 255, 976, 69, 757?
You can find a detailed procedure to find GCD of 255, 976, 69, 757 on our page.
3. How to find GCD of 255, 976, 69, 757 on a calculator?
You can find the GCD of 255, 976, 69, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.