Online GCD Calculator is useful to find the GCD of 798, 600, 120, 166 quickly. Get the easiest ways to solve the greatest common divisor of 798, 600, 120, 166 i.e 2 in different methods as follows.
Given Input numbers are 798, 600, 120, 166
In the factoring method, we have to find the divisors of all numbers
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
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 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
GCD of numbers is the greatest common divisor
So, the GCD (798, 600, 120, 166) = 2.
Given numbers are 798, 600, 120, 166
The list of prime factors of all numbers are
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 166 are 2 x 83
The highest common occurrence is 21
Therefore, GCD of 798, 600, 120, 166 is 2.
Given numbers are 798, 600, 120, 166
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(798, 600) = 79800
GCD(798, 600) = ( 798 x 600 ) / 79800
= 798 / 600
= 798
Step2:
LCM(6, 120) = 120
GCD(6, 120) = ( 6 x 120 ) / 120
= 6 / 120
= 6
Step3:
LCM(6, 166) = 498
GCD(6, 166) = ( 6 x 166 ) / 498
= 6 / 166
= 6
So, Greatest Common Divisor of 798, 600, 120, 166 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 798, 600, 120, 166
The greatest common divisor of numbers 798, 600, 120, 166 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 600, 120, 166 is 2.
1. What is the GCD of 798, 600, 120, 166?
GCD of given numbers 798, 600, 120, 166 is 2
2. How to calculate the greatest common divisor of 798, 600, 120, 166?
We can find the highest common divisor of 798, 600, 120, 166 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 798, 600, 120, 166 i.e 2.
3. How can I use the GCD of 798, 600, 120, 166Calculator?
Out the numbers 798, 600, 120, 166 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.