Online GCD Calculator is useful to find the GCD of 150, 518, 104, 282 quickly. Get the easiest ways to solve the greatest common divisor of 150, 518, 104, 282 i.e 2 in different methods as follows.
Given Input numbers are 150, 518, 104, 282
In the factoring method, we have to find the divisors of all numbers
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
GCD of numbers is the greatest common divisor
So, the GCD (150, 518, 104, 282) = 2.
Given numbers are 150, 518, 104, 282
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 518 are 2 x 7 x 37
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 282 are 2 x 3 x 47
The highest common occurrence is 21
Therefore, GCD of 150, 518, 104, 282 is 2.
Given numbers are 150, 518, 104, 282
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 518) = 38850
GCD(150, 518) = ( 150 x 518 ) / 38850
= 150 / 518
= 150
Step2:
LCM(2, 104) = 104
GCD(2, 104) = ( 2 x 104 ) / 104
= 2 / 104
= 2
Step3:
LCM(2, 282) = 282
GCD(2, 282) = ( 2 x 282 ) / 282
= 2 / 282
= 2
So, Greatest Common Divisor of 150, 518, 104, 282 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 518, 104, 282
The greatest common divisor of numbers 150, 518, 104, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 518, 104, 282 is 2.
1. What is the GCD of 150, 518, 104, 282?
GCD of given numbers 150, 518, 104, 282 is 2
2. How to calculate the greatest common divisor of 150, 518, 104, 282?
We can find the highest common divisor of 150, 518, 104, 282 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 150, 518, 104, 282 i.e 2.
3. How can I use the GCD of 150, 518, 104, 282Calculator?
Out the numbers 150, 518, 104, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.