Online GCD Calculator is useful to find the GCD of 188, 138, 364, 862 quickly. Get the easiest ways to solve the greatest common divisor of 188, 138, 364, 862 i.e 2 in different methods as follows.
Given Input numbers are 188, 138, 364, 862
In the factoring method, we have to find the divisors of all numbers
Divisors of 188 :
The positive integer divisors of 188 that completely divides 188 are.
1, 2, 4, 47, 94, 188
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 862 :
The positive integer divisors of 862 that completely divides 862 are.
1, 2, 431, 862
GCD of numbers is the greatest common divisor
So, the GCD (188, 138, 364, 862) = 2.
Given numbers are 188, 138, 364, 862
The list of prime factors of all numbers are
Prime factors of 188 are 2 x 2 x 47
Prime factors of 138 are 2 x 3 x 23
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 862 are 2 x 431
The highest common occurrence is 21
Therefore, GCD of 188, 138, 364, 862 is 2.
Given numbers are 188, 138, 364, 862
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(188, 138) = 12972
GCD(188, 138) = ( 188 x 138 ) / 12972
= 188 / 138
= 188
Step2:
LCM(2, 364) = 364
GCD(2, 364) = ( 2 x 364 ) / 364
= 2 / 364
= 2
Step3:
LCM(2, 862) = 862
GCD(2, 862) = ( 2 x 862 ) / 862
= 2 / 862
= 2
So, Greatest Common Divisor of 188, 138, 364, 862 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 188, 138, 364, 862
The greatest common divisor of numbers 188, 138, 364, 862 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 188, 138, 364, 862 is 2.
1. What is the GCD of 188, 138, 364, 862?
GCD of given numbers 188, 138, 364, 862 is 2
2. How to calculate the greatest common divisor of 188, 138, 364, 862?
We can find the highest common divisor of 188, 138, 364, 862 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 188, 138, 364, 862 i.e 2.
3. How can I use the GCD of 188, 138, 364, 862Calculator?
Out the numbers 188, 138, 364, 862 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.