Online GCD Calculator is useful to find the GCD of 210, 550, 144, 792 quickly. Get the easiest ways to solve the greatest common divisor of 210, 550, 144, 792 i.e 2 in different methods as follows.
Given Input numbers are 210, 550, 144, 792
In the factoring method, we have to find the divisors of all numbers
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
GCD of numbers is the greatest common divisor
So, the GCD (210, 550, 144, 792) = 2.
Given numbers are 210, 550, 144, 792
The list of prime factors of all numbers are
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 210, 550, 144, 792 is 2.
Given numbers are 210, 550, 144, 792
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(210, 550) = 11550
GCD(210, 550) = ( 210 x 550 ) / 11550
= 210 / 550
= 210
Step2:
LCM(10, 144) = 720
GCD(10, 144) = ( 10 x 144 ) / 720
= 10 / 144
= 10
Step3:
LCM(2, 792) = 792
GCD(2, 792) = ( 2 x 792 ) / 792
= 2 / 792
= 2
So, Greatest Common Divisor of 210, 550, 144, 792 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 210, 550, 144, 792
The greatest common divisor of numbers 210, 550, 144, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 550, 144, 792 is 2.
1. What is the GCD of 210, 550, 144, 792?
GCD of given numbers 210, 550, 144, 792 is 2
2. How to calculate the greatest common divisor of 210, 550, 144, 792?
We can find the highest common divisor of 210, 550, 144, 792 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 210, 550, 144, 792 i.e 2.
3. How can I use the GCD of 210, 550, 144, 792Calculator?
Out the numbers 210, 550, 144, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.