Online GCD Calculator is useful to find the GCD of 135, 440, 310, 450 quickly. Get the easiest ways to solve the greatest common divisor of 135, 440, 310, 450 i.e 5 in different methods as follows.
Given Input numbers are 135, 440, 310, 450
In the factoring method, we have to find the divisors of all numbers
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 440 :
The positive integer divisors of 440 that completely divides 440 are.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
GCD of numbers is the greatest common divisor
So, the GCD (135, 440, 310, 450) = 5.
Given numbers are 135, 440, 310, 450
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 440 are 2 x 2 x 2 x 5 x 11
Prime factors of 310 are 2 x 5 x 31
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
The highest common occurrence is 51
Therefore, GCD of 135, 440, 310, 450 is 5.
Given numbers are 135, 440, 310, 450
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 440) = 11880
GCD(135, 440) = ( 135 x 440 ) / 11880
= 135 / 440
= 135
Step2:
LCM(5, 310) = 310
GCD(5, 310) = ( 5 x 310 ) / 310
= 5 / 310
= 5
Step3:
LCM(5, 450) = 450
GCD(5, 450) = ( 5 x 450 ) / 450
= 5 / 450
= 5
So, Greatest Common Divisor of 135, 440, 310, 450 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 440, 310, 450
The greatest common divisor of numbers 135, 440, 310, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 440, 310, 450 is 5.
1. What is the GCD of 135, 440, 310, 450?
GCD of given numbers 135, 440, 310, 450 is 5
2. How to calculate the greatest common divisor of 135, 440, 310, 450?
We can find the highest common divisor of 135, 440, 310, 450 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 135, 440, 310, 450 i.e 5.
3. How can I use the GCD of 135, 440, 310, 450Calculator?
Out the numbers 135, 440, 310, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.