Online GCD Calculator is useful to find the GCD of 342, 864, 420, 124 quickly. Get the easiest ways to solve the greatest common divisor of 342, 864, 420, 124 i.e 2 in different methods as follows.
Given Input numbers are 342, 864, 420, 124
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 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
GCD of numbers is the greatest common divisor
So, the GCD (342, 864, 420, 124) = 2.
Given numbers are 342, 864, 420, 124
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 124 are 2 x 2 x 31
The highest common occurrence is 21
Therefore, GCD of 342, 864, 420, 124 is 2.
Given numbers are 342, 864, 420, 124
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 864) = 16416
GCD(342, 864) = ( 342 x 864 ) / 16416
= 342 / 864
= 342
Step2:
LCM(18, 420) = 1260
GCD(18, 420) = ( 18 x 420 ) / 1260
= 18 / 420
= 18
Step3:
LCM(6, 124) = 372
GCD(6, 124) = ( 6 x 124 ) / 372
= 6 / 124
= 6
So, Greatest Common Divisor of 342, 864, 420, 124 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 864, 420, 124
The greatest common divisor of numbers 342, 864, 420, 124 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 864, 420, 124 is 2.
1. What is the GCD of 342, 864, 420, 124?
GCD of given numbers 342, 864, 420, 124 is 2
2. How to calculate the greatest common divisor of 342, 864, 420, 124?
We can find the highest common divisor of 342, 864, 420, 124 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, 864, 420, 124 i.e 2.
3. How can I use the GCD of 342, 864, 420, 124Calculator?
Out the numbers 342, 864, 420, 124 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.