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 676, 699, 80, 778 i.e. 1 largest integer that divides all the numbers equally.
GCD of 676, 699, 80, 778 is 1
GCD(676, 699, 80, 778) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 676, 699, 80, 778 is 1
GCD(676, 699, 80, 778) = 1
Given Input numbers are 676, 699, 80, 778
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Greatest Common Divisior
We found the divisors of 676, 699, 80, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 699, 80, 778 is 1.
Therefore, GCD of numbers 676, 699, 80, 778 is 1
Given Input Data is 676, 699, 80, 778
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 699 is 3 x 233
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 778 is 2 x 389
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(676, 699) = 472524
GCD(676, 699) = ( 676 x 699 ) / 472524
GCD(676, 699) = 472524 / 472524
GCD(676, 699) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 778) = 778
GCD(1, 778) = ( 1 x 778 ) / 778
GCD(1, 778) = 778 / 778
GCD(1, 778) = 1
GCD of 676, 699, 80, 778 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 676, 699, 80, 778?
GCD of 676, 699, 80, 778 is 1
2. Where do I get the detailed procedure to find GCD of 676, 699, 80, 778?
You can find a detailed procedure to find GCD of 676, 699, 80, 778 on our page.
3. How to find GCD of 676, 699, 80, 778 on a calculator?
You can find the GCD of 676, 699, 80, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.