Online GCD Calculator is useful to find the GCD of 138, 642, 786, 342 quickly. Get the easiest ways to solve the greatest common divisor of 138, 642, 786, 342 i.e 6 in different methods as follows.
Given Input numbers are 138, 642, 786, 342
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 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (138, 642, 786, 342) = 6.
Given numbers are 138, 642, 786, 342
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 642 are 2 x 3 x 107
Prime factors of 786 are 2 x 3 x 131
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 21 x 31
Therefore, GCD of 138, 642, 786, 342 is 6.
Given numbers are 138, 642, 786, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 642) = 14766
GCD(138, 642) = ( 138 x 642 ) / 14766
= 138 / 642
= 138
Step2:
LCM(6, 786) = 786
GCD(6, 786) = ( 6 x 786 ) / 786
= 6 / 786
= 6
Step3:
LCM(6, 342) = 342
GCD(6, 342) = ( 6 x 342 ) / 342
= 6 / 342
= 6
So, Greatest Common Divisor of 138, 642, 786, 342 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 642, 786, 342
The greatest common divisor of numbers 138, 642, 786, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 642, 786, 342 is 6.
1. What is the GCD of 138, 642, 786, 342?
GCD of given numbers 138, 642, 786, 342 is 6
2. How to calculate the greatest common divisor of 138, 642, 786, 342?
We can find the highest common divisor of 138, 642, 786, 342 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, 642, 786, 342 i.e 6.
3. How can I use the GCD of 138, 642, 786, 342Calculator?
Out the numbers 138, 642, 786, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.