Online GCD Calculator is useful to find the GCD of 342, 782, 186, 142 quickly. Get the easiest ways to solve the greatest common divisor of 342, 782, 186, 142 i.e 2 in different methods as follows.
Given Input numbers are 342, 782, 186, 142
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 186 :
The positive integer divisors of 186 that completely divides 186 are.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (342, 782, 186, 142) = 2.
Given numbers are 342, 782, 186, 142
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 782 are 2 x 17 x 23
Prime factors of 186 are 2 x 3 x 31
Prime factors of 142 are 2 x 71
The highest common occurrence is 21
Therefore, GCD of 342, 782, 186, 142 is 2.
Given numbers are 342, 782, 186, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 782) = 133722
GCD(342, 782) = ( 342 x 782 ) / 133722
= 342 / 782
= 342
Step2:
LCM(2, 186) = 186
GCD(2, 186) = ( 2 x 186 ) / 186
= 2 / 186
= 2
Step3:
LCM(2, 142) = 142
GCD(2, 142) = ( 2 x 142 ) / 142
= 2 / 142
= 2
So, Greatest Common Divisor of 342, 782, 186, 142 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 782, 186, 142
The greatest common divisor of numbers 342, 782, 186, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 782, 186, 142 is 2.
1. What is the GCD of 342, 782, 186, 142?
GCD of given numbers 342, 782, 186, 142 is 2
2. How to calculate the greatest common divisor of 342, 782, 186, 142?
We can find the highest common divisor of 342, 782, 186, 142 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 342, 782, 186, 142 i.e 2.
3. How can I use the GCD of 342, 782, 186, 142Calculator?
Out the numbers 342, 782, 186, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.