Online GCD Calculator is useful to find the GCD of 342, 820, 104, 660 quickly. Get the easiest ways to solve the greatest common divisor of 342, 820, 104, 660 i.e 2 in different methods as follows.
Given Input numbers are 342, 820, 104, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (342, 820, 104, 660) = 2.
Given numbers are 342, 820, 104, 660
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The highest common occurrence is 21
Therefore, GCD of 342, 820, 104, 660 is 2.
Given numbers are 342, 820, 104, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 820) = 140220
GCD(342, 820) = ( 342 x 820 ) / 140220
= 342 / 820
= 342
Step2:
LCM(2, 104) = 104
GCD(2, 104) = ( 2 x 104 ) / 104
= 2 / 104
= 2
Step3:
LCM(2, 660) = 660
GCD(2, 660) = ( 2 x 660 ) / 660
= 2 / 660
= 2
So, Greatest Common Divisor of 342, 820, 104, 660 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 820, 104, 660
The greatest common divisor of numbers 342, 820, 104, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 820, 104, 660 is 2.
1. What is the GCD of 342, 820, 104, 660?
GCD of given numbers 342, 820, 104, 660 is 2
2. How to calculate the greatest common divisor of 342, 820, 104, 660?
We can find the highest common divisor of 342, 820, 104, 660 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 342, 820, 104, 660 i.e 2.
3. How can I use the GCD of 342, 820, 104, 660Calculator?
Out the numbers 342, 820, 104, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.