Online GCD Calculator is useful to find the GCD of 330, 495, 375, 140 quickly. Get the easiest ways to solve the greatest common divisor of 330, 495, 375, 140 i.e 5 in different methods as follows.
Given Input numbers are 330, 495, 375, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 330 :
The positive integer divisors of 330 that completely divides 330 are.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (330, 495, 375, 140) = 5.
Given numbers are 330, 495, 375, 140
The list of prime factors of all numbers are
Prime factors of 330 are 2 x 3 x 5 x 11
Prime factors of 495 are 3 x 3 x 5 x 11
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 51
Therefore, GCD of 330, 495, 375, 140 is 5.
Given numbers are 330, 495, 375, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(330, 495) = 990
GCD(330, 495) = ( 330 x 495 ) / 990
= 330 / 495
= 330
Step2:
LCM(165, 375) = 4125
GCD(165, 375) = ( 165 x 375 ) / 4125
= 165 / 375
= 165
Step3:
LCM(15, 140) = 420
GCD(15, 140) = ( 15 x 140 ) / 420
= 15 / 140
= 15
So, Greatest Common Divisor of 330, 495, 375, 140 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 330, 495, 375, 140
The greatest common divisor of numbers 330, 495, 375, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 495, 375, 140 is 5.
1. What is the GCD of 330, 495, 375, 140?
GCD of given numbers 330, 495, 375, 140 is 5
2. How to calculate the greatest common divisor of 330, 495, 375, 140?
We can find the highest common divisor of 330, 495, 375, 140 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 330, 495, 375, 140 i.e 5.
3. How can I use the GCD of 330, 495, 375, 140Calculator?
Out the numbers 330, 495, 375, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.