Online GCD Calculator is useful to find the GCD of 342, 310, 138, 986 quickly. Get the easiest ways to solve the greatest common divisor of 342, 310, 138, 986 i.e 2 in different methods as follows.
Given Input numbers are 342, 310, 138, 986
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 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
GCD of numbers is the greatest common divisor
So, the GCD (342, 310, 138, 986) = 2.
Given numbers are 342, 310, 138, 986
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 310 are 2 x 5 x 31
Prime factors of 138 are 2 x 3 x 23
Prime factors of 986 are 2 x 17 x 29
The highest common occurrence is 21
Therefore, GCD of 342, 310, 138, 986 is 2.
Given numbers are 342, 310, 138, 986
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 310) = 53010
GCD(342, 310) = ( 342 x 310 ) / 53010
= 342 / 310
= 342
Step2:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
Step3:
LCM(2, 986) = 986
GCD(2, 986) = ( 2 x 986 ) / 986
= 2 / 986
= 2
So, Greatest Common Divisor of 342, 310, 138, 986 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 310, 138, 986
The greatest common divisor of numbers 342, 310, 138, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 310, 138, 986 is 2.
1. What is the GCD of 342, 310, 138, 986?
GCD of given numbers 342, 310, 138, 986 is 2
2. How to calculate the greatest common divisor of 342, 310, 138, 986?
We can find the highest common divisor of 342, 310, 138, 986 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, 310, 138, 986 i.e 2.
3. How can I use the GCD of 342, 310, 138, 986Calculator?
Out the numbers 342, 310, 138, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.