Online GCD Calculator is useful to find the GCD of 844, 174, 732, 462 quickly. Get the easiest ways to solve the greatest common divisor of 844, 174, 732, 462 i.e 2 in different methods as follows.
Given Input numbers are 844, 174, 732, 462
In the factoring method, we have to find the divisors of all numbers
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
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 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
GCD of numbers is the greatest common divisor
So, the GCD (844, 174, 732, 462) = 2.
Given numbers are 844, 174, 732, 462
The list of prime factors of all numbers are
Prime factors of 844 are 2 x 2 x 211
Prime factors of 174 are 2 x 3 x 29
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 462 are 2 x 3 x 7 x 11
The highest common occurrence is 21
Therefore, GCD of 844, 174, 732, 462 is 2.
Given numbers are 844, 174, 732, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(844, 174) = 73428
GCD(844, 174) = ( 844 x 174 ) / 73428
= 844 / 174
= 844
Step2:
LCM(2, 732) = 732
GCD(2, 732) = ( 2 x 732 ) / 732
= 2 / 732
= 2
Step3:
LCM(2, 462) = 462
GCD(2, 462) = ( 2 x 462 ) / 462
= 2 / 462
= 2
So, Greatest Common Divisor of 844, 174, 732, 462 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 844, 174, 732, 462
The greatest common divisor of numbers 844, 174, 732, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 844, 174, 732, 462 is 2.
1. What is the GCD of 844, 174, 732, 462?
GCD of given numbers 844, 174, 732, 462 is 2
2. How to calculate the greatest common divisor of 844, 174, 732, 462?
We can find the highest common divisor of 844, 174, 732, 462 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 844, 174, 732, 462 i.e 2.
3. How can I use the GCD of 844, 174, 732, 462Calculator?
Out the numbers 844, 174, 732, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.