Online GCD Calculator is useful to find the GCD of 682, 814, 829, 448 quickly. Get the easiest ways to solve the greatest common divisor of 682, 814, 829, 448 i.e 1 in different methods as follows.
Given Input numbers are 682, 814, 829, 448
In the factoring method, we have to find the divisors of all numbers
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 829 :
The positive integer divisors of 829 that completely divides 829 are.
1, 829
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
GCD of numbers is the greatest common divisor
So, the GCD (682, 814, 829, 448) = 1.
Given numbers are 682, 814, 829, 448
The list of prime factors of all numbers are
Prime factors of 682 are 2 x 11 x 31
Prime factors of 814 are 2 x 11 x 37
Prime factors of 829 are 829
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 682, 814, 829, 448
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(682, 814) = 25234
GCD(682, 814) = ( 682 x 814 ) / 25234
= 682 / 814
= 682
Step2:
LCM(22, 829) = 18238
GCD(22, 829) = ( 22 x 829 ) / 18238
= 22 / 829
= 22
Step3:
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
= 1 / 448
= 1
So, Greatest Common Divisor of 682, 814, 829, 448 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 682, 814, 829, 448
The greatest common divisor of numbers 682, 814, 829, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 814, 829, 448 is 1.
1. What is the GCD of 682, 814, 829, 448?
GCD of given numbers 682, 814, 829, 448 is 1
2. How to calculate the greatest common divisor of 682, 814, 829, 448?
We can find the highest common divisor of 682, 814, 829, 448 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 682, 814, 829, 448 i.e 1.
3. How can I use the GCD of 682, 814, 829, 448Calculator?
Out the numbers 682, 814, 829, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.