Online GCD Calculator is useful to find the GCD of 872, 680, 728, 335 quickly. Get the easiest ways to solve the greatest common divisor of 872, 680, 728, 335 i.e 1 in different methods as follows.
Given Input numbers are 872, 680, 728, 335
In the factoring method, we have to find the divisors of all numbers
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
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
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 335 :
The positive integer divisors of 335 that completely divides 335 are.
1, 5, 67, 335
GCD of numbers is the greatest common divisor
So, the GCD (872, 680, 728, 335) = 1.
Given numbers are 872, 680, 728, 335
The list of prime factors of all numbers are
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 335 are 5 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 872, 680, 728, 335
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(872, 680) = 74120
GCD(872, 680) = ( 872 x 680 ) / 74120
= 872 / 680
= 872
Step2:
LCM(8, 728) = 728
GCD(8, 728) = ( 8 x 728 ) / 728
= 8 / 728
= 8
Step3:
LCM(8, 335) = 2680
GCD(8, 335) = ( 8 x 335 ) / 2680
= 8 / 335
= 8
So, Greatest Common Divisor of 872, 680, 728, 335 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 872, 680, 728, 335
The greatest common divisor of numbers 872, 680, 728, 335 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 680, 728, 335 is 1.
1. What is the GCD of 872, 680, 728, 335?
GCD of given numbers 872, 680, 728, 335 is 1
2. How to calculate the greatest common divisor of 872, 680, 728, 335?
We can find the highest common divisor of 872, 680, 728, 335 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 872, 680, 728, 335 i.e 1.
3. How can I use the GCD of 872, 680, 728, 335Calculator?
Out the numbers 872, 680, 728, 335 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.