Online GCD Calculator is useful to find the GCD of 206, 390, 182, 140 quickly. Get the easiest ways to solve the greatest common divisor of 206, 390, 182, 140 i.e 2 in different methods as follows.
Given Input numbers are 206, 390, 182, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 206 :
The positive integer divisors of 206 that completely divides 206 are.
1, 2, 103, 206
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (206, 390, 182, 140) = 2.
Given numbers are 206, 390, 182, 140
The list of prime factors of all numbers are
Prime factors of 206 are 2 x 103
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 182 are 2 x 7 x 13
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 206, 390, 182, 140 is 2.
Given numbers are 206, 390, 182, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(206, 390) = 40170
GCD(206, 390) = ( 206 x 390 ) / 40170
= 206 / 390
= 206
Step2:
LCM(2, 182) = 182
GCD(2, 182) = ( 2 x 182 ) / 182
= 2 / 182
= 2
Step3:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
So, Greatest Common Divisor of 206, 390, 182, 140 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 206, 390, 182, 140
The greatest common divisor of numbers 206, 390, 182, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 206, 390, 182, 140 is 2.
1. What is the GCD of 206, 390, 182, 140?
GCD of given numbers 206, 390, 182, 140 is 2
2. How to calculate the greatest common divisor of 206, 390, 182, 140?
We can find the highest common divisor of 206, 390, 182, 140 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 206, 390, 182, 140 i.e 2.
3. How can I use the GCD of 206, 390, 182, 140Calculator?
Out the numbers 206, 390, 182, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.