Online GCD Calculator is useful to find the GCD of 918, 720, 842, 464 quickly. Get the easiest ways to solve the greatest common divisor of 918, 720, 842, 464 i.e 2 in different methods as follows.
Given Input numbers are 918, 720, 842, 464
In the factoring method, we have to find the divisors of all numbers
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
GCD of numbers is the greatest common divisor
So, the GCD (918, 720, 842, 464) = 2.
Given numbers are 918, 720, 842, 464
The list of prime factors of all numbers are
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 842 are 2 x 421
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 918, 720, 842, 464 is 2.
Given numbers are 918, 720, 842, 464
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(918, 720) = 36720
GCD(918, 720) = ( 918 x 720 ) / 36720
= 918 / 720
= 918
Step2:
LCM(18, 842) = 7578
GCD(18, 842) = ( 18 x 842 ) / 7578
= 18 / 842
= 18
Step3:
LCM(2, 464) = 464
GCD(2, 464) = ( 2 x 464 ) / 464
= 2 / 464
= 2
So, Greatest Common Divisor of 918, 720, 842, 464 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 918, 720, 842, 464
The greatest common divisor of numbers 918, 720, 842, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 720, 842, 464 is 2.
1. What is the GCD of 918, 720, 842, 464?
GCD of given numbers 918, 720, 842, 464 is 2
2. How to calculate the greatest common divisor of 918, 720, 842, 464?
We can find the highest common divisor of 918, 720, 842, 464 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 918, 720, 842, 464 i.e 2.
3. How can I use the GCD of 918, 720, 842, 464Calculator?
Out the numbers 918, 720, 842, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.