Online GCD Calculator is useful to find the GCD of 842, 518, 412, 542 quickly. Get the easiest ways to solve the greatest common divisor of 842, 518, 412, 542 i.e 2 in different methods as follows.
Given Input numbers are 842, 518, 412, 542
In the factoring method, we have to find the divisors of all numbers
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
GCD of numbers is the greatest common divisor
So, the GCD (842, 518, 412, 542) = 2.
Given numbers are 842, 518, 412, 542
The list of prime factors of all numbers are
Prime factors of 842 are 2 x 421
Prime factors of 518 are 2 x 7 x 37
Prime factors of 412 are 2 x 2 x 103
Prime factors of 542 are 2 x 271
The highest common occurrence is 21
Therefore, GCD of 842, 518, 412, 542 is 2.
Given numbers are 842, 518, 412, 542
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(842, 518) = 218078
GCD(842, 518) = ( 842 x 518 ) / 218078
= 842 / 518
= 842
Step2:
LCM(2, 412) = 412
GCD(2, 412) = ( 2 x 412 ) / 412
= 2 / 412
= 2
Step3:
LCM(2, 542) = 542
GCD(2, 542) = ( 2 x 542 ) / 542
= 2 / 542
= 2
So, Greatest Common Divisor of 842, 518, 412, 542 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 842, 518, 412, 542
The greatest common divisor of numbers 842, 518, 412, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 518, 412, 542 is 2.
1. What is the GCD of 842, 518, 412, 542?
GCD of given numbers 842, 518, 412, 542 is 2
2. How to calculate the greatest common divisor of 842, 518, 412, 542?
We can find the highest common divisor of 842, 518, 412, 542 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 842, 518, 412, 542 i.e 2.
3. How can I use the GCD of 842, 518, 412, 542Calculator?
Out the numbers 842, 518, 412, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.