Online GCD Calculator is useful to find the GCD of 842, 282, 370, 904 quickly. Get the easiest ways to solve the greatest common divisor of 842, 282, 370, 904 i.e 2 in different methods as follows.
Given Input numbers are 842, 282, 370, 904
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 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
GCD of numbers is the greatest common divisor
So, the GCD (842, 282, 370, 904) = 2.
Given numbers are 842, 282, 370, 904
The list of prime factors of all numbers are
Prime factors of 842 are 2 x 421
Prime factors of 282 are 2 x 3 x 47
Prime factors of 370 are 2 x 5 x 37
Prime factors of 904 are 2 x 2 x 2 x 113
The highest common occurrence is 21
Therefore, GCD of 842, 282, 370, 904 is 2.
Given numbers are 842, 282, 370, 904
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(842, 282) = 118722
GCD(842, 282) = ( 842 x 282 ) / 118722
= 842 / 282
= 842
Step2:
LCM(2, 370) = 370
GCD(2, 370) = ( 2 x 370 ) / 370
= 2 / 370
= 2
Step3:
LCM(2, 904) = 904
GCD(2, 904) = ( 2 x 904 ) / 904
= 2 / 904
= 2
So, Greatest Common Divisor of 842, 282, 370, 904 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 842, 282, 370, 904
The greatest common divisor of numbers 842, 282, 370, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 282, 370, 904 is 2.
1. What is the GCD of 842, 282, 370, 904?
GCD of given numbers 842, 282, 370, 904 is 2
2. How to calculate the greatest common divisor of 842, 282, 370, 904?
We can find the highest common divisor of 842, 282, 370, 904 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, 282, 370, 904 i.e 2.
3. How can I use the GCD of 842, 282, 370, 904Calculator?
Out the numbers 842, 282, 370, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.