Online GCD Calculator is useful to find the GCD of 190, 138, 940, 708 quickly. Get the easiest ways to solve the greatest common divisor of 190, 138, 940, 708 i.e 2 in different methods as follows.
Given Input numbers are 190, 138, 940, 708
In the factoring method, we have to find the divisors of all numbers
Divisors of 190 :
The positive integer divisors of 190 that completely divides 190 are.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
GCD of numbers is the greatest common divisor
So, the GCD (190, 138, 940, 708) = 2.
Given numbers are 190, 138, 940, 708
The list of prime factors of all numbers are
Prime factors of 190 are 2 x 5 x 19
Prime factors of 138 are 2 x 3 x 23
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 708 are 2 x 2 x 3 x 59
The highest common occurrence is 21
Therefore, GCD of 190, 138, 940, 708 is 2.
Given numbers are 190, 138, 940, 708
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(190, 138) = 13110
GCD(190, 138) = ( 190 x 138 ) / 13110
= 190 / 138
= 190
Step2:
LCM(2, 940) = 940
GCD(2, 940) = ( 2 x 940 ) / 940
= 2 / 940
= 2
Step3:
LCM(2, 708) = 708
GCD(2, 708) = ( 2 x 708 ) / 708
= 2 / 708
= 2
So, Greatest Common Divisor of 190, 138, 940, 708 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 190, 138, 940, 708
The greatest common divisor of numbers 190, 138, 940, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 190, 138, 940, 708 is 2.
1. What is the GCD of 190, 138, 940, 708?
GCD of given numbers 190, 138, 940, 708 is 2
2. How to calculate the greatest common divisor of 190, 138, 940, 708?
We can find the highest common divisor of 190, 138, 940, 708 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 190, 138, 940, 708 i.e 2.
3. How can I use the GCD of 190, 138, 940, 708Calculator?
Out the numbers 190, 138, 940, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.