Online GCD Calculator is useful to find the GCD of 340, 980, 966, 666 quickly. Get the easiest ways to solve the greatest common divisor of 340, 980, 966, 666 i.e 2 in different methods as follows.
Given Input numbers are 340, 980, 966, 666
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 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 666 :
The positive integer divisors of 666 that completely divides 666 are.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
GCD of numbers is the greatest common divisor
So, the GCD (340, 980, 966, 666) = 2.
Given numbers are 340, 980, 966, 666
The list of prime factors of all numbers are
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 666 are 2 x 3 x 3 x 37
The highest common occurrence is 21
Therefore, GCD of 340, 980, 966, 666 is 2.
Given numbers are 340, 980, 966, 666
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(340, 980) = 16660
GCD(340, 980) = ( 340 x 980 ) / 16660
= 340 / 980
= 340
Step2:
LCM(20, 966) = 9660
GCD(20, 966) = ( 20 x 966 ) / 9660
= 20 / 966
= 20
Step3:
LCM(2, 666) = 666
GCD(2, 666) = ( 2 x 666 ) / 666
= 2 / 666
= 2
So, Greatest Common Divisor of 340, 980, 966, 666 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 340, 980, 966, 666
The greatest common divisor of numbers 340, 980, 966, 666 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 980, 966, 666 is 2.
1. What is the GCD of 340, 980, 966, 666?
GCD of given numbers 340, 980, 966, 666 is 2
2. How to calculate the greatest common divisor of 340, 980, 966, 666?
We can find the highest common divisor of 340, 980, 966, 666 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, 980, 966, 666 i.e 2.
3. How can I use the GCD of 340, 980, 966, 666Calculator?
Out the numbers 340, 980, 966, 666 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.