Online GCD Calculator is useful to find the GCD of 138, 730, 260, 966 quickly. Get the easiest ways to solve the greatest common divisor of 138, 730, 260, 966 i.e 2 in different methods as follows.
Given Input numbers are 138, 730, 260, 966
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
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
GCD of numbers is the greatest common divisor
So, the GCD (138, 730, 260, 966) = 2.
Given numbers are 138, 730, 260, 966
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 730 are 2 x 5 x 73
Prime factors of 260 are 2 x 2 x 5 x 13
Prime factors of 966 are 2 x 3 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 138, 730, 260, 966 is 2.
Given numbers are 138, 730, 260, 966
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 730) = 50370
GCD(138, 730) = ( 138 x 730 ) / 50370
= 138 / 730
= 138
Step2:
LCM(2, 260) = 260
GCD(2, 260) = ( 2 x 260 ) / 260
= 2 / 260
= 2
Step3:
LCM(2, 966) = 966
GCD(2, 966) = ( 2 x 966 ) / 966
= 2 / 966
= 2
So, Greatest Common Divisor of 138, 730, 260, 966 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 730, 260, 966
The greatest common divisor of numbers 138, 730, 260, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 730, 260, 966 is 2.
1. What is the GCD of 138, 730, 260, 966?
GCD of given numbers 138, 730, 260, 966 is 2
2. How to calculate the greatest common divisor of 138, 730, 260, 966?
We can find the highest common divisor of 138, 730, 260, 966 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 138, 730, 260, 966 i.e 2.
3. How can I use the GCD of 138, 730, 260, 966Calculator?
Out the numbers 138, 730, 260, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.