Online GCD Calculator is useful to find the GCD of 900, 478, 348, 438 quickly. Get the easiest ways to solve the greatest common divisor of 900, 478, 348, 438 i.e 2 in different methods as follows.
Given Input numbers are 900, 478, 348, 438
In the factoring method, we have to find the divisors of all numbers
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
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 (900, 478, 348, 438) = 2.
Given numbers are 900, 478, 348, 438
The list of prime factors of all numbers are
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 478 are 2 x 239
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 438 are 2 x 3 x 73
The highest common occurrence is 21
Therefore, GCD of 900, 478, 348, 438 is 2.
Given numbers are 900, 478, 348, 438
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 478) = 215100
GCD(900, 478) = ( 900 x 478 ) / 215100
= 900 / 478
= 900
Step2:
LCM(2, 348) = 348
GCD(2, 348) = ( 2 x 348 ) / 348
= 2 / 348
= 2
Step3:
LCM(2, 438) = 438
GCD(2, 438) = ( 2 x 438 ) / 438
= 2 / 438
= 2
So, Greatest Common Divisor of 900, 478, 348, 438 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 478, 348, 438
The greatest common divisor of numbers 900, 478, 348, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 478, 348, 438 is 2.
1. What is the GCD of 900, 478, 348, 438?
GCD of given numbers 900, 478, 348, 438 is 2
2. How to calculate the greatest common divisor of 900, 478, 348, 438?
We can find the highest common divisor of 900, 478, 348, 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 900, 478, 348, 438 i.e 2.
3. How can I use the GCD of 900, 478, 348, 438Calculator?
Out the numbers 900, 478, 348, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.