Online GCD Calculator is useful to find the GCD of 900, 442, 548, 386 quickly. Get the easiest ways to solve the greatest common divisor of 900, 442, 548, 386 i.e 2 in different methods as follows.
Given Input numbers are 900, 442, 548, 386
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 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 386 :
The positive integer divisors of 386 that completely divides 386 are.
1, 2, 193, 386
GCD of numbers is the greatest common divisor
So, the GCD (900, 442, 548, 386) = 2.
Given numbers are 900, 442, 548, 386
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 442 are 2 x 13 x 17
Prime factors of 548 are 2 x 2 x 137
Prime factors of 386 are 2 x 193
The highest common occurrence is 21
Therefore, GCD of 900, 442, 548, 386 is 2.
Given numbers are 900, 442, 548, 386
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(900, 442) = 198900
GCD(900, 442) = ( 900 x 442 ) / 198900
= 900 / 442
= 900
Step2:
LCM(2, 548) = 548
GCD(2, 548) = ( 2 x 548 ) / 548
= 2 / 548
= 2
Step3:
LCM(2, 386) = 386
GCD(2, 386) = ( 2 x 386 ) / 386
= 2 / 386
= 2
So, Greatest Common Divisor of 900, 442, 548, 386 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 900, 442, 548, 386
The greatest common divisor of numbers 900, 442, 548, 386 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 442, 548, 386 is 2.
1. What is the GCD of 900, 442, 548, 386?
GCD of given numbers 900, 442, 548, 386 is 2
2. How to calculate the greatest common divisor of 900, 442, 548, 386?
We can find the highest common divisor of 900, 442, 548, 386 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, 442, 548, 386 i.e 2.
3. How can I use the GCD of 900, 442, 548, 386Calculator?
Out the numbers 900, 442, 548, 386 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.