Online GCD Calculator is useful to find the GCD of 842, 878, 918, 906 quickly. Get the easiest ways to solve the greatest common divisor of 842, 878, 918, 906 i.e 2 in different methods as follows.
Given Input numbers are 842, 878, 918, 906
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 878 :
The positive integer divisors of 878 that completely divides 878 are.
1, 2, 439, 878
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 906 :
The positive integer divisors of 906 that completely divides 906 are.
1, 2, 3, 6, 151, 302, 453, 906
GCD of numbers is the greatest common divisor
So, the GCD (842, 878, 918, 906) = 2.
Given numbers are 842, 878, 918, 906
The list of prime factors of all numbers are
Prime factors of 842 are 2 x 421
Prime factors of 878 are 2 x 439
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 906 are 2 x 3 x 151
The highest common occurrence is 21
Therefore, GCD of 842, 878, 918, 906 is 2.
Given numbers are 842, 878, 918, 906
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(842, 878) = 369638
GCD(842, 878) = ( 842 x 878 ) / 369638
= 842 / 878
= 842
Step2:
LCM(2, 918) = 918
GCD(2, 918) = ( 2 x 918 ) / 918
= 2 / 918
= 2
Step3:
LCM(2, 906) = 906
GCD(2, 906) = ( 2 x 906 ) / 906
= 2 / 906
= 2
So, Greatest Common Divisor of 842, 878, 918, 906 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 842, 878, 918, 906
The greatest common divisor of numbers 842, 878, 918, 906 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 878, 918, 906 is 2.
1. What is the GCD of 842, 878, 918, 906?
GCD of given numbers 842, 878, 918, 906 is 2
2. How to calculate the greatest common divisor of 842, 878, 918, 906?
We can find the highest common divisor of 842, 878, 918, 906 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, 878, 918, 906 i.e 2.
3. How can I use the GCD of 842, 878, 918, 906Calculator?
Out the numbers 842, 878, 918, 906 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.