Online GCD Calculator is useful to find the GCD of 738, 166, 212, 130 quickly. Get the easiest ways to solve the greatest common divisor of 738, 166, 212, 130 i.e 2 in different methods as follows.
Given Input numbers are 738, 166, 212, 130
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
GCD of numbers is the greatest common divisor
So, the GCD (738, 166, 212, 130) = 2.
Given numbers are 738, 166, 212, 130
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 166 are 2 x 83
Prime factors of 212 are 2 x 2 x 53
Prime factors of 130 are 2 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 738, 166, 212, 130 is 2.
Given numbers are 738, 166, 212, 130
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 166) = 61254
GCD(738, 166) = ( 738 x 166 ) / 61254
= 738 / 166
= 738
Step2:
LCM(2, 212) = 212
GCD(2, 212) = ( 2 x 212 ) / 212
= 2 / 212
= 2
Step3:
LCM(2, 130) = 130
GCD(2, 130) = ( 2 x 130 ) / 130
= 2 / 130
= 2
So, Greatest Common Divisor of 738, 166, 212, 130 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 166, 212, 130
The greatest common divisor of numbers 738, 166, 212, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 166, 212, 130 is 2.
1. What is the GCD of 738, 166, 212, 130?
GCD of given numbers 738, 166, 212, 130 is 2
2. How to calculate the greatest common divisor of 738, 166, 212, 130?
We can find the highest common divisor of 738, 166, 212, 130 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 738, 166, 212, 130 i.e 2.
3. How can I use the GCD of 738, 166, 212, 130Calculator?
Out the numbers 738, 166, 212, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.