Online GCD Calculator is useful to find the GCD of 442, 896, 738, 922 quickly. Get the easiest ways to solve the greatest common divisor of 442, 896, 738, 922 i.e 2 in different methods as follows.
Given Input numbers are 442, 896, 738, 922
In the factoring method, we have to find the divisors of all numbers
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 922 :
The positive integer divisors of 922 that completely divides 922 are.
1, 2, 461, 922
GCD of numbers is the greatest common divisor
So, the GCD (442, 896, 738, 922) = 2.
Given numbers are 442, 896, 738, 922
The list of prime factors of all numbers are
Prime factors of 442 are 2 x 13 x 17
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 922 are 2 x 461
The highest common occurrence is 21
Therefore, GCD of 442, 896, 738, 922 is 2.
Given numbers are 442, 896, 738, 922
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(442, 896) = 198016
GCD(442, 896) = ( 442 x 896 ) / 198016
= 442 / 896
= 442
Step2:
LCM(2, 738) = 738
GCD(2, 738) = ( 2 x 738 ) / 738
= 2 / 738
= 2
Step3:
LCM(2, 922) = 922
GCD(2, 922) = ( 2 x 922 ) / 922
= 2 / 922
= 2
So, Greatest Common Divisor of 442, 896, 738, 922 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 442, 896, 738, 922
The greatest common divisor of numbers 442, 896, 738, 922 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 896, 738, 922 is 2.
1. What is the GCD of 442, 896, 738, 922?
GCD of given numbers 442, 896, 738, 922 is 2
2. How to calculate the greatest common divisor of 442, 896, 738, 922?
We can find the highest common divisor of 442, 896, 738, 922 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 442, 896, 738, 922 i.e 2.
3. How can I use the GCD of 442, 896, 738, 922Calculator?
Out the numbers 442, 896, 738, 922 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.