Online GCD Calculator is useful to find the GCD of 814, 169, 312, 680 quickly. Get the easiest ways to solve the greatest common divisor of 814, 169, 312, 680 i.e 1 in different methods as follows.
Given Input numbers are 814, 169, 312, 680
In the factoring method, we have to find the divisors of all numbers
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
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 (814, 169, 312, 680) = 1.
Given numbers are 814, 169, 312, 680
The list of prime factors of all numbers are
Prime factors of 814 are 2 x 11 x 37
Prime factors of 169 are 13 x 13
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
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 814, 169, 312, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(814, 169) = 137566
GCD(814, 169) = ( 814 x 169 ) / 137566
= 814 / 169
= 814
Step2:
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
= 1 / 312
= 1
Step3:
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
= 1 / 680
= 1
So, Greatest Common Divisor of 814, 169, 312, 680 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 814, 169, 312, 680
The greatest common divisor of numbers 814, 169, 312, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 169, 312, 680 is 1.
1. What is the GCD of 814, 169, 312, 680?
GCD of given numbers 814, 169, 312, 680 is 1
2. How to calculate the greatest common divisor of 814, 169, 312, 680?
We can find the highest common divisor of 814, 169, 312, 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 814, 169, 312, 680 i.e 1.
3. How can I use the GCD of 814, 169, 312, 680Calculator?
Out the numbers 814, 169, 312, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.