Online GCD Calculator is useful to find the GCD of 270, 824, 798, 120 quickly. Get the easiest ways to solve the greatest common divisor of 270, 824, 798, 120 i.e 2 in different methods as follows.
Given Input numbers are 270, 824, 798, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
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 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
GCD of numbers is the greatest common divisor
So, the GCD (270, 824, 798, 120) = 2.
Given numbers are 270, 824, 798, 120
The list of prime factors of all numbers are
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 270, 824, 798, 120 is 2.
Given numbers are 270, 824, 798, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 824) = 111240
GCD(270, 824) = ( 270 x 824 ) / 111240
= 270 / 824
= 270
Step2:
LCM(2, 798) = 798
GCD(2, 798) = ( 2 x 798 ) / 798
= 2 / 798
= 2
Step3:
LCM(2, 120) = 120
GCD(2, 120) = ( 2 x 120 ) / 120
= 2 / 120
= 2
So, Greatest Common Divisor of 270, 824, 798, 120 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 824, 798, 120
The greatest common divisor of numbers 270, 824, 798, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 824, 798, 120 is 2.
1. What is the GCD of 270, 824, 798, 120?
GCD of given numbers 270, 824, 798, 120 is 2
2. How to calculate the greatest common divisor of 270, 824, 798, 120?
We can find the highest common divisor of 270, 824, 798, 120 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 270, 824, 798, 120 i.e 2.
3. How can I use the GCD of 270, 824, 798, 120Calculator?
Out the numbers 270, 824, 798, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.