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 755, 882, 798, 680 i.e. 1 largest integer that divides all the numbers equally.
GCD of 755, 882, 798, 680 is 1
GCD(755, 882, 798, 680) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 755, 882, 798, 680 is 1
GCD(755, 882, 798, 680) = 1
Given Input numbers are 755, 882, 798, 680
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Greatest Common Divisior
We found the divisors of 755, 882, 798, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 882, 798, 680 is 1.
Therefore, GCD of numbers 755, 882, 798, 680 is 1
Given Input Data is 755, 882, 798, 680
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 755 is 5 x 151
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 680 is 2 x 2 x 2 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(755, 882) = 665910
GCD(755, 882) = ( 755 x 882 ) / 665910
GCD(755, 882) = 665910 / 665910
GCD(755, 882) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 798) = 798
GCD(1, 798) = ( 1 x 798 ) / 798
GCD(1, 798) = 798 / 798
GCD(1, 798) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 680
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
GCD(1, 680) = 680 / 680
GCD(1, 680) = 1
GCD of 755, 882, 798, 680 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 755, 882, 798, 680?
GCD of 755, 882, 798, 680 is 1
2. Where do I get the detailed procedure to find GCD of 755, 882, 798, 680?
You can find a detailed procedure to find GCD of 755, 882, 798, 680 on our page.
3. How to find GCD of 755, 882, 798, 680 on a calculator?
You can find the GCD of 755, 882, 798, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.