Online GCD Calculator is useful to find the GCD of 842, 872, 462, 730 quickly. Get the easiest ways to solve the greatest common divisor of 842, 872, 462, 730 i.e 2 in different methods as follows.
Given Input numbers are 842, 872, 462, 730
In the factoring method, we have to find the divisors of all numbers
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
GCD of numbers is the greatest common divisor
So, the GCD (842, 872, 462, 730) = 2.
Given numbers are 842, 872, 462, 730
The list of prime factors of all numbers are
Prime factors of 842 are 2 x 421
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 730 are 2 x 5 x 73
The highest common occurrence is 21
Therefore, GCD of 842, 872, 462, 730 is 2.
Given numbers are 842, 872, 462, 730
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(842, 872) = 367112
GCD(842, 872) = ( 842 x 872 ) / 367112
= 842 / 872
= 842
Step2:
LCM(2, 462) = 462
GCD(2, 462) = ( 2 x 462 ) / 462
= 2 / 462
= 2
Step3:
LCM(2, 730) = 730
GCD(2, 730) = ( 2 x 730 ) / 730
= 2 / 730
= 2
So, Greatest Common Divisor of 842, 872, 462, 730 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 842, 872, 462, 730
The greatest common divisor of numbers 842, 872, 462, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 872, 462, 730 is 2.
1. What is the GCD of 842, 872, 462, 730?
GCD of given numbers 842, 872, 462, 730 is 2
2. How to calculate the greatest common divisor of 842, 872, 462, 730?
We can find the highest common divisor of 842, 872, 462, 730 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 842, 872, 462, 730 i.e 2.
3. How can I use the GCD of 842, 872, 462, 730Calculator?
Out the numbers 842, 872, 462, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.