Online GCD Calculator is useful to find the GCD of 902, 718, 38, 438 quickly. Get the easiest ways to solve the greatest common divisor of 902, 718, 38, 438 i.e 2 in different methods as follows.
Given Input numbers are 902, 718, 38, 438
In the factoring method, we have to find the divisors of all numbers
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
Divisors of 38 :
The positive integer divisors of 38 that completely divides 38 are.
1, 2, 19, 38
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 (902, 718, 38, 438) = 2.
Given numbers are 902, 718, 38, 438
The list of prime factors of all numbers are
Prime factors of 902 are 2 x 11 x 41
Prime factors of 718 are 2 x 359
Prime factors of 38 are 2 x 19
Prime factors of 438 are 2 x 3 x 73
The highest common occurrence is 21
Therefore, GCD of 902, 718, 38, 438 is 2.
Given numbers are 902, 718, 38, 438
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(902, 718) = 323818
GCD(902, 718) = ( 902 x 718 ) / 323818
= 902 / 718
= 902
Step2:
LCM(2, 38) = 38
GCD(2, 38) = ( 2 x 38 ) / 38
= 2 / 38
= 2
Step3:
LCM(2, 438) = 438
GCD(2, 438) = ( 2 x 438 ) / 438
= 2 / 438
= 2
So, Greatest Common Divisor of 902, 718, 38, 438 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 902, 718, 38, 438
The greatest common divisor of numbers 902, 718, 38, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 718, 38, 438 is 2.
1. What is the GCD of 902, 718, 38, 438?
GCD of given numbers 902, 718, 38, 438 is 2
2. How to calculate the greatest common divisor of 902, 718, 38, 438?
We can find the highest common divisor of 902, 718, 38, 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 902, 718, 38, 438 i.e 2.
3. How can I use the GCD of 902, 718, 38, 438Calculator?
Out the numbers 902, 718, 38, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.