Online GCD Calculator is useful to find the GCD of 306, 735, 900, 408 quickly. Get the easiest ways to solve the greatest common divisor of 306, 735, 900, 408 i.e 3 in different methods as follows.
Given Input numbers are 306, 735, 900, 408
In the factoring method, we have to find the divisors of all numbers
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
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 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
GCD of numbers is the greatest common divisor
So, the GCD (306, 735, 900, 408) = 3.
Given numbers are 306, 735, 900, 408
The list of prime factors of all numbers are
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 306, 735, 900, 408 is 3.
Given numbers are 306, 735, 900, 408
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(306, 735) = 74970
GCD(306, 735) = ( 306 x 735 ) / 74970
= 306 / 735
= 306
Step2:
LCM(3, 900) = 900
GCD(3, 900) = ( 3 x 900 ) / 900
= 3 / 900
= 3
Step3:
LCM(3, 408) = 408
GCD(3, 408) = ( 3 x 408 ) / 408
= 3 / 408
= 3
So, Greatest Common Divisor of 306, 735, 900, 408 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 306, 735, 900, 408
The greatest common divisor of numbers 306, 735, 900, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 735, 900, 408 is 3.
1. What is the GCD of 306, 735, 900, 408?
GCD of given numbers 306, 735, 900, 408 is 3
2. How to calculate the greatest common divisor of 306, 735, 900, 408?
We can find the highest common divisor of 306, 735, 900, 408 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 306, 735, 900, 408 i.e 3.
3. How can I use the GCD of 306, 735, 900, 408Calculator?
Out the numbers 306, 735, 900, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.