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 777, 687, 635, 339 i.e. 1 largest integer that divides all the numbers equally.
GCD of 777, 687, 635, 339 is 1
GCD(777, 687, 635, 339) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 777, 687, 635, 339 is 1
GCD(777, 687, 635, 339) = 1
Given Input numbers are 777, 687, 635, 339
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Greatest Common Divisior
We found the divisors of 777, 687, 635, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 687, 635, 339 is 1.
Therefore, GCD of numbers 777, 687, 635, 339 is 1
Given Input Data is 777, 687, 635, 339
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 687 is 3 x 229
Prime Factorization of 635 is 5 x 127
Prime Factorization of 339 is 3 x 113
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(777, 687) = 177933
GCD(777, 687) = ( 777 x 687 ) / 177933
GCD(777, 687) = 533799 / 177933
GCD(777, 687) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 635
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 635) = 1905
GCD(3, 635) = ( 3 x 635 ) / 1905
GCD(3, 635) = 1905 / 1905
GCD(3, 635) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 339) = 339
GCD(1, 339) = ( 1 x 339 ) / 339
GCD(1, 339) = 339 / 339
GCD(1, 339) = 1
GCD of 777, 687, 635, 339 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 777, 687, 635, 339?
GCD of 777, 687, 635, 339 is 1
2. Where do I get the detailed procedure to find GCD of 777, 687, 635, 339?
You can find a detailed procedure to find GCD of 777, 687, 635, 339 on our page.
3. How to find GCD of 777, 687, 635, 339 on a calculator?
You can find the GCD of 777, 687, 635, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.