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 880, 505, 97, 767 i.e. 1 largest integer that divides all the numbers equally.
GCD of 880, 505, 97, 767 is 1
GCD(880, 505, 97, 767) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 880, 505, 97, 767 is 1
GCD(880, 505, 97, 767) = 1
Given Input numbers are 880, 505, 97, 767
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Greatest Common Divisior
We found the divisors of 880, 505, 97, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 505, 97, 767 is 1.
Therefore, GCD of numbers 880, 505, 97, 767 is 1
Given Input Data is 880, 505, 97, 767
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 505 is 5 x 101
Prime Factorization of 97 is 97
Prime Factorization of 767 is 13 x 59
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(880, 505) = 88880
GCD(880, 505) = ( 880 x 505 ) / 88880
GCD(880, 505) = 444400 / 88880
GCD(880, 505) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 97) = 485
GCD(5, 97) = ( 5 x 97 ) / 485
GCD(5, 97) = 485 / 485
GCD(5, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
GCD(1, 767) = 767 / 767
GCD(1, 767) = 1
GCD of 880, 505, 97, 767 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 880, 505, 97, 767?
GCD of 880, 505, 97, 767 is 1
2. Where do I get the detailed procedure to find GCD of 880, 505, 97, 767?
You can find a detailed procedure to find GCD of 880, 505, 97, 767 on our page.
3. How to find GCD of 880, 505, 97, 767 on a calculator?
You can find the GCD of 880, 505, 97, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.