Online GCD Calculator is useful to find the GCD of 842, 364, 732, 180 quickly. Get the easiest ways to solve the greatest common divisor of 842, 364, 732, 180 i.e 2 in different methods as follows.
Given Input numbers are 842, 364, 732, 180
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 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (842, 364, 732, 180) = 2.
Given numbers are 842, 364, 732, 180
The list of prime factors of all numbers are
Prime factors of 842 are 2 x 421
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 842, 364, 732, 180 is 2.
Given numbers are 842, 364, 732, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(842, 364) = 153244
GCD(842, 364) = ( 842 x 364 ) / 153244
= 842 / 364
= 842
Step2:
LCM(2, 732) = 732
GCD(2, 732) = ( 2 x 732 ) / 732
= 2 / 732
= 2
Step3:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
So, Greatest Common Divisor of 842, 364, 732, 180 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 842, 364, 732, 180
The greatest common divisor of numbers 842, 364, 732, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 364, 732, 180 is 2.
1. What is the GCD of 842, 364, 732, 180?
GCD of given numbers 842, 364, 732, 180 is 2
2. How to calculate the greatest common divisor of 842, 364, 732, 180?
We can find the highest common divisor of 842, 364, 732, 180 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, 364, 732, 180 i.e 2.
3. How can I use the GCD of 842, 364, 732, 180Calculator?
Out the numbers 842, 364, 732, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.