Online GCD Calculator is useful to find the GCD of 444, 498, 687, 750 quickly. Get the easiest ways to solve the greatest common divisor of 444, 498, 687, 750 i.e 3 in different methods as follows.
Given Input numbers are 444, 498, 687, 750
In the factoring method, we have to find the divisors of all numbers
Divisors of 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
GCD of numbers is the greatest common divisor
So, the GCD (444, 498, 687, 750) = 3.
Given numbers are 444, 498, 687, 750
The list of prime factors of all numbers are
Prime factors of 444 are 2 x 2 x 3 x 37
Prime factors of 498 are 2 x 3 x 83
Prime factors of 687 are 3 x 229
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 444, 498, 687, 750 is 3.
Given numbers are 444, 498, 687, 750
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(444, 498) = 36852
GCD(444, 498) = ( 444 x 498 ) / 36852
= 444 / 498
= 444
Step2:
LCM(6, 687) = 1374
GCD(6, 687) = ( 6 x 687 ) / 1374
= 6 / 687
= 6
Step3:
LCM(3, 750) = 750
GCD(3, 750) = ( 3 x 750 ) / 750
= 3 / 750
= 3
So, Greatest Common Divisor of 444, 498, 687, 750 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 444, 498, 687, 750
The greatest common divisor of numbers 444, 498, 687, 750 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 444, 498, 687, 750 is 3.
1. What is the GCD of 444, 498, 687, 750?
GCD of given numbers 444, 498, 687, 750 is 3
2. How to calculate the greatest common divisor of 444, 498, 687, 750?
We can find the highest common divisor of 444, 498, 687, 750 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 444, 498, 687, 750 i.e 3.
3. How can I use the GCD of 444, 498, 687, 750Calculator?
Out the numbers 444, 498, 687, 750 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.