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 277, 764, 689, 110 i.e. 1 largest integer that divides all the numbers equally.
GCD of 277, 764, 689, 110 is 1
GCD(277, 764, 689, 110) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 277, 764, 689, 110 is 1
GCD(277, 764, 689, 110) = 1
Given Input numbers are 277, 764, 689, 110
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Greatest Common Divisior
We found the divisors of 277, 764, 689, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 277, 764, 689, 110 is 1.
Therefore, GCD of numbers 277, 764, 689, 110 is 1
Given Input Data is 277, 764, 689, 110
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 277 is 277
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 689 is 13 x 53
Prime Factorization of 110 is 2 x 5 x 11
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(277, 764) = 211628
GCD(277, 764) = ( 277 x 764 ) / 211628
GCD(277, 764) = 211628 / 211628
GCD(277, 764) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
GCD(1, 689) = 689 / 689
GCD(1, 689) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 110
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 110) = 110
GCD(1, 110) = ( 1 x 110 ) / 110
GCD(1, 110) = 110 / 110
GCD(1, 110) = 1
GCD of 277, 764, 689, 110 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 277, 764, 689, 110?
GCD of 277, 764, 689, 110 is 1
2. Where do I get the detailed procedure to find GCD of 277, 764, 689, 110?
You can find a detailed procedure to find GCD of 277, 764, 689, 110 on our page.
3. How to find GCD of 277, 764, 689, 110 on a calculator?
You can find the GCD of 277, 764, 689, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.