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 677, 339, 278, 697 i.e. 1 largest integer that divides all the numbers equally.
GCD of 677, 339, 278, 697 is 1
GCD(677, 339, 278, 697) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 677, 339, 278, 697 is 1
GCD(677, 339, 278, 697) = 1
Given Input numbers are 677, 339, 278, 697
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Greatest Common Divisior
We found the divisors of 677, 339, 278, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 339, 278, 697 is 1.
Therefore, GCD of numbers 677, 339, 278, 697 is 1
Given Input Data is 677, 339, 278, 697
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 677 is 677
Prime Factorization of 339 is 3 x 113
Prime Factorization of 278 is 2 x 139
Prime Factorization of 697 is 17 x 41
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(677, 339) = 229503
GCD(677, 339) = ( 677 x 339 ) / 229503
GCD(677, 339) = 229503 / 229503
GCD(677, 339) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 278) = 278
GCD(1, 278) = ( 1 x 278 ) / 278
GCD(1, 278) = 278 / 278
GCD(1, 278) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 697
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 697) = 697
GCD(1, 697) = ( 1 x 697 ) / 697
GCD(1, 697) = 697 / 697
GCD(1, 697) = 1
GCD of 677, 339, 278, 697 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 677, 339, 278, 697?
GCD of 677, 339, 278, 697 is 1
2. Where do I get the detailed procedure to find GCD of 677, 339, 278, 697?
You can find a detailed procedure to find GCD of 677, 339, 278, 697 on our page.
3. How to find GCD of 677, 339, 278, 697 on a calculator?
You can find the GCD of 677, 339, 278, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.