Online GCD Calculator is useful to find the GCD of 753, 306, 375, 498 quickly. Get the easiest ways to solve the greatest common divisor of 753, 306, 375, 498 i.e 3 in different methods as follows.
Given Input numbers are 753, 306, 375, 498
In the factoring method, we have to find the divisors of all numbers
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
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 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
GCD of numbers is the greatest common divisor
So, the GCD (753, 306, 375, 498) = 3.
Given numbers are 753, 306, 375, 498
The list of prime factors of all numbers are
Prime factors of 753 are 3 x 251
Prime factors of 306 are 2 x 3 x 3 x 17
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 498 are 2 x 3 x 83
The highest common occurrence is 31
Therefore, GCD of 753, 306, 375, 498 is 3.
Given numbers are 753, 306, 375, 498
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(753, 306) = 76806
GCD(753, 306) = ( 753 x 306 ) / 76806
= 753 / 306
= 753
Step2:
LCM(3, 375) = 375
GCD(3, 375) = ( 3 x 375 ) / 375
= 3 / 375
= 3
Step3:
LCM(3, 498) = 498
GCD(3, 498) = ( 3 x 498 ) / 498
= 3 / 498
= 3
So, Greatest Common Divisor of 753, 306, 375, 498 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 753, 306, 375, 498
The greatest common divisor of numbers 753, 306, 375, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 306, 375, 498 is 3.
1. What is the GCD of 753, 306, 375, 498?
GCD of given numbers 753, 306, 375, 498 is 3
2. How to calculate the greatest common divisor of 753, 306, 375, 498?
We can find the highest common divisor of 753, 306, 375, 498 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 753, 306, 375, 498 i.e 3.
3. How can I use the GCD of 753, 306, 375, 498Calculator?
Out the numbers 753, 306, 375, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.