Online GCD Calculator is useful to find the GCD of 340, 558, 826, 682 quickly. Get the easiest ways to solve the greatest common divisor of 340, 558, 826, 682 i.e 2 in different methods as follows.
Given Input numbers are 340, 558, 826, 682
In the factoring method, we have to find the divisors of all numbers
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 826 :
The positive integer divisors of 826 that completely divides 826 are.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
GCD of numbers is the greatest common divisor
So, the GCD (340, 558, 826, 682) = 2.
Given numbers are 340, 558, 826, 682
The list of prime factors of all numbers are
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 826 are 2 x 7 x 59
Prime factors of 682 are 2 x 11 x 31
The highest common occurrence is 21
Therefore, GCD of 340, 558, 826, 682 is 2.
Given numbers are 340, 558, 826, 682
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(340, 558) = 94860
GCD(340, 558) = ( 340 x 558 ) / 94860
= 340 / 558
= 340
Step2:
LCM(2, 826) = 826
GCD(2, 826) = ( 2 x 826 ) / 826
= 2 / 826
= 2
Step3:
LCM(2, 682) = 682
GCD(2, 682) = ( 2 x 682 ) / 682
= 2 / 682
= 2
So, Greatest Common Divisor of 340, 558, 826, 682 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 340, 558, 826, 682
The greatest common divisor of numbers 340, 558, 826, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 558, 826, 682 is 2.
1. What is the GCD of 340, 558, 826, 682?
GCD of given numbers 340, 558, 826, 682 is 2
2. How to calculate the greatest common divisor of 340, 558, 826, 682?
We can find the highest common divisor of 340, 558, 826, 682 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 340, 558, 826, 682 i.e 2.
3. How can I use the GCD of 340, 558, 826, 682Calculator?
Out the numbers 340, 558, 826, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.