Online GCD Calculator is useful to find the GCD of 680, 564, 322 quickly. Get the easiest ways to solve the greatest common divisor of 680, 564, 322 i.e 2 in different methods as follows.
Given Input numbers are 680, 564, 322
In the factoring method, we have to find the divisors of all numbers
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 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
GCD of numbers is the greatest common divisor
So, the GCD (680, 564, 322) = 2.
Given numbers are 680, 564, 322
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 322 are 2 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 680, 564, 322 is 2.
Given numbers are 680, 564, 322
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 564) = 95880
GCD(680, 564) = ( 680 x 564 ) / 95880
= 680 / 564
= 680
Step2:
LCM(4, 322) = 644
GCD(4, 322) = ( 4 x 322 ) / 644
= 4 / 322
= 4
So, Greatest Common Divisor of 680, 564, 322 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 564, 322
The greatest common divisor of numbers 680, 564, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 564, 322 is 2.
1. What is the GCD of 680, 564, 322?
GCD of given numbers 680, 564, 322 is 2
2. How to calculate the greatest common divisor of 680, 564, 322?
We can find the highest common divisor of 680, 564, 322 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 680, 564, 322 i.e 2.
3. How can I use the GCD of 680, 564, 322Calculator?
Out the numbers 680, 564, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.