Online GCD Calculator is useful to find the GCD of 342, 606, 690, 156 quickly. Get the easiest ways to solve the greatest common divisor of 342, 606, 690, 156 i.e 6 in different methods as follows.
Given Input numbers are 342, 606, 690, 156
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 606 :
The positive integer divisors of 606 that completely divides 606 are.
1, 2, 3, 6, 101, 202, 303, 606
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
GCD of numbers is the greatest common divisor
So, the GCD (342, 606, 690, 156) = 6.
Given numbers are 342, 606, 690, 156
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 606 are 2 x 3 x 101
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 156 are 2 x 2 x 3 x 13
The highest common occurrence is 21 x 31
Therefore, GCD of 342, 606, 690, 156 is 6.
Given numbers are 342, 606, 690, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 606) = 34542
GCD(342, 606) = ( 342 x 606 ) / 34542
= 342 / 606
= 342
Step2:
LCM(6, 690) = 690
GCD(6, 690) = ( 6 x 690 ) / 690
= 6 / 690
= 6
Step3:
LCM(6, 156) = 156
GCD(6, 156) = ( 6 x 156 ) / 156
= 6 / 156
= 6
So, Greatest Common Divisor of 342, 606, 690, 156 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 606, 690, 156
The greatest common divisor of numbers 342, 606, 690, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 606, 690, 156 is 6.
1. What is the GCD of 342, 606, 690, 156?
GCD of given numbers 342, 606, 690, 156 is 6
2. How to calculate the greatest common divisor of 342, 606, 690, 156?
We can find the highest common divisor of 342, 606, 690, 156 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, 606, 690, 156 i.e 6.
3. How can I use the GCD of 342, 606, 690, 156Calculator?
Out the numbers 342, 606, 690, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.