Online GCD Calculator is useful to find the GCD of 120, 112, 558, 850 quickly. Get the easiest ways to solve the greatest common divisor of 120, 112, 558, 850 i.e 2 in different methods as follows.
Given Input numbers are 120, 112, 558, 850
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 850 :
The positive integer divisors of 850 that completely divides 850 are.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
GCD of numbers is the greatest common divisor
So, the GCD (120, 112, 558, 850) = 2.
Given numbers are 120, 112, 558, 850
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 850 are 2 x 5 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 120, 112, 558, 850 is 2.
Given numbers are 120, 112, 558, 850
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 112) = 1680
GCD(120, 112) = ( 120 x 112 ) / 1680
= 120 / 112
= 120
Step2:
LCM(8, 558) = 2232
GCD(8, 558) = ( 8 x 558 ) / 2232
= 8 / 558
= 8
Step3:
LCM(2, 850) = 850
GCD(2, 850) = ( 2 x 850 ) / 850
= 2 / 850
= 2
So, Greatest Common Divisor of 120, 112, 558, 850 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 112, 558, 850
The greatest common divisor of numbers 120, 112, 558, 850 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 112, 558, 850 is 2.
1. What is the GCD of 120, 112, 558, 850?
GCD of given numbers 120, 112, 558, 850 is 2
2. How to calculate the greatest common divisor of 120, 112, 558, 850?
We can find the highest common divisor of 120, 112, 558, 850 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 120, 112, 558, 850 i.e 2.
3. How can I use the GCD of 120, 112, 558, 850Calculator?
Out the numbers 120, 112, 558, 850 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.