Online GCD Calculator is useful to find the GCD of 842, 178, 472 quickly. Get the easiest ways to solve the greatest common divisor of 842, 178, 472 i.e 2 in different methods as follows.
Given Input numbers are 842, 178, 472
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 178 :
The positive integer divisors of 178 that completely divides 178 are.
1, 2, 89, 178
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
GCD of numbers is the greatest common divisor
So, the GCD (842, 178, 472) = 2.
Given numbers are 842, 178, 472
The list of prime factors of all numbers are
Prime factors of 842 are 2 x 421
Prime factors of 178 are 2 x 89
Prime factors of 472 are 2 x 2 x 2 x 59
The highest common occurrence is 21
Therefore, GCD of 842, 178, 472 is 2.
Given numbers are 842, 178, 472
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(842, 178) = 74938
GCD(842, 178) = ( 842 x 178 ) / 74938
= 842 / 178
= 842
Step2:
LCM(2, 472) = 472
GCD(2, 472) = ( 2 x 472 ) / 472
= 2 / 472
= 2
So, Greatest Common Divisor of 842, 178, 472 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 842, 178, 472
The greatest common divisor of numbers 842, 178, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 178, 472 is 2.
1. What is the GCD of 842, 178, 472?
GCD of given numbers 842, 178, 472 is 2
2. How to calculate the greatest common divisor of 842, 178, 472?
We can find the highest common divisor of 842, 178, 472 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, 178, 472 i.e 2.
3. How can I use the GCD of 842, 178, 472Calculator?
Out the numbers 842, 178, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.