Online GCD Calculator is useful to find the GCD of 573, 738, 492, 750 quickly. Get the easiest ways to solve the greatest common divisor of 573, 738, 492, 750 i.e 3 in different methods as follows.
Given Input numbers are 573, 738, 492, 750
In the factoring method, we have to find the divisors of all numbers
Divisors of 573 :
The positive integer divisors of 573 that completely divides 573 are.
1, 3, 191, 573
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
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 (573, 738, 492, 750) = 3.
Given numbers are 573, 738, 492, 750
The list of prime factors of all numbers are
Prime factors of 573 are 3 x 191
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 573, 738, 492, 750 is 3.
Given numbers are 573, 738, 492, 750
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(573, 738) = 140958
GCD(573, 738) = ( 573 x 738 ) / 140958
= 573 / 738
= 573
Step2:
LCM(3, 492) = 492
GCD(3, 492) = ( 3 x 492 ) / 492
= 3 / 492
= 3
Step3:
LCM(3, 750) = 750
GCD(3, 750) = ( 3 x 750 ) / 750
= 3 / 750
= 3
So, Greatest Common Divisor of 573, 738, 492, 750 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 573, 738, 492, 750
The greatest common divisor of numbers 573, 738, 492, 750 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 573, 738, 492, 750 is 3.
1. What is the GCD of 573, 738, 492, 750?
GCD of given numbers 573, 738, 492, 750 is 3
2. How to calculate the greatest common divisor of 573, 738, 492, 750?
We can find the highest common divisor of 573, 738, 492, 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 573, 738, 492, 750 i.e 3.
3. How can I use the GCD of 573, 738, 492, 750Calculator?
Out the numbers 573, 738, 492, 750 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.