Online GCD Calculator is useful to find the GCD of 682, 902, 345, 824 quickly. Get the easiest ways to solve the greatest common divisor of 682, 902, 345, 824 i.e 1 in different methods as follows.
Given Input numbers are 682, 902, 345, 824
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 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
GCD of numbers is the greatest common divisor
So, the GCD (682, 902, 345, 824) = 1.
Given numbers are 682, 902, 345, 824
The list of prime factors of all numbers are
Prime factors of 682 are 2 x 11 x 31
Prime factors of 902 are 2 x 11 x 41
Prime factors of 345 are 3 x 5 x 23
Prime factors of 824 are 2 x 2 x 2 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 682, 902, 345, 824
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(682, 902) = 27962
GCD(682, 902) = ( 682 x 902 ) / 27962
= 682 / 902
= 682
Step2:
LCM(22, 345) = 7590
GCD(22, 345) = ( 22 x 345 ) / 7590
= 22 / 345
= 22
Step3:
LCM(1, 824) = 824
GCD(1, 824) = ( 1 x 824 ) / 824
= 1 / 824
= 1
So, Greatest Common Divisor of 682, 902, 345, 824 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 682, 902, 345, 824
The greatest common divisor of numbers 682, 902, 345, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 902, 345, 824 is 1.
1. What is the GCD of 682, 902, 345, 824?
GCD of given numbers 682, 902, 345, 824 is 1
2. How to calculate the greatest common divisor of 682, 902, 345, 824?
We can find the highest common divisor of 682, 902, 345, 824 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, 902, 345, 824 i.e 1.
3. How can I use the GCD of 682, 902, 345, 824Calculator?
Out the numbers 682, 902, 345, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.