Online GCD Calculator is useful to find the GCD of 299, 727, 398, 680 quickly. Get the easiest ways to solve the greatest common divisor of 299, 727, 398, 680 i.e 1 in different methods as follows.
Given Input numbers are 299, 727, 398, 680
In the factoring method, we have to find the divisors of all numbers
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
Divisors of 727 :
The positive integer divisors of 727 that completely divides 727 are.
1, 727
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (299, 727, 398, 680) = 1.
Given numbers are 299, 727, 398, 680
The list of prime factors of all numbers are
Prime factors of 299 are 13 x 23
Prime factors of 727 are 727
Prime factors of 398 are 2 x 199
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 299, 727, 398, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(299, 727) = 217373
GCD(299, 727) = ( 299 x 727 ) / 217373
= 299 / 727
= 299
Step2:
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
= 1 / 398
= 1
Step3:
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
= 1 / 680
= 1
So, Greatest Common Divisor of 299, 727, 398, 680 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 299, 727, 398, 680
The greatest common divisor of numbers 299, 727, 398, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 299, 727, 398, 680 is 1.
1. What is the GCD of 299, 727, 398, 680?
GCD of given numbers 299, 727, 398, 680 is 1
2. How to calculate the greatest common divisor of 299, 727, 398, 680?
We can find the highest common divisor of 299, 727, 398, 680 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 299, 727, 398, 680 i.e 1.
3. How can I use the GCD of 299, 727, 398, 680Calculator?
Out the numbers 299, 727, 398, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.