Online GCD Calculator is useful to find the GCD of 898, 922, 902, 438 quickly. Get the easiest ways to solve the greatest common divisor of 898, 922, 902, 438 i.e 2 in different methods as follows.
Given Input numbers are 898, 922, 902, 438
In the factoring method, we have to find the divisors of all numbers
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 922 :
The positive integer divisors of 922 that completely divides 922 are.
1, 2, 461, 922
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
GCD of numbers is the greatest common divisor
So, the GCD (898, 922, 902, 438) = 2.
Given numbers are 898, 922, 902, 438
The list of prime factors of all numbers are
Prime factors of 898 are 2 x 449
Prime factors of 922 are 2 x 461
Prime factors of 902 are 2 x 11 x 41
Prime factors of 438 are 2 x 3 x 73
The highest common occurrence is 21
Therefore, GCD of 898, 922, 902, 438 is 2.
Given numbers are 898, 922, 902, 438
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(898, 922) = 413978
GCD(898, 922) = ( 898 x 922 ) / 413978
= 898 / 922
= 898
Step2:
LCM(2, 902) = 902
GCD(2, 902) = ( 2 x 902 ) / 902
= 2 / 902
= 2
Step3:
LCM(2, 438) = 438
GCD(2, 438) = ( 2 x 438 ) / 438
= 2 / 438
= 2
So, Greatest Common Divisor of 898, 922, 902, 438 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 898, 922, 902, 438
The greatest common divisor of numbers 898, 922, 902, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 922, 902, 438 is 2.
1. What is the GCD of 898, 922, 902, 438?
GCD of given numbers 898, 922, 902, 438 is 2
2. How to calculate the greatest common divisor of 898, 922, 902, 438?
We can find the highest common divisor of 898, 922, 902, 438 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 898, 922, 902, 438 i.e 2.
3. How can I use the GCD of 898, 922, 902, 438Calculator?
Out the numbers 898, 922, 902, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.