Online GCD Calculator is useful to find the GCD of 750, 195, 471, 747 quickly. Get the easiest ways to solve the greatest common divisor of 750, 195, 471, 747 i.e 3 in different methods as follows.
Given Input numbers are 750, 195, 471, 747
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
GCD of numbers is the greatest common divisor
So, the GCD (750, 195, 471, 747) = 3.
Given numbers are 750, 195, 471, 747
The list of prime factors of all numbers are
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 195 are 3 x 5 x 13
Prime factors of 471 are 3 x 157
Prime factors of 747 are 3 x 3 x 83
The highest common occurrence is 31
Therefore, GCD of 750, 195, 471, 747 is 3.
Given numbers are 750, 195, 471, 747
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(750, 195) = 9750
GCD(750, 195) = ( 750 x 195 ) / 9750
= 750 / 195
= 750
Step2:
LCM(15, 471) = 2355
GCD(15, 471) = ( 15 x 471 ) / 2355
= 15 / 471
= 15
Step3:
LCM(3, 747) = 747
GCD(3, 747) = ( 3 x 747 ) / 747
= 3 / 747
= 3
So, Greatest Common Divisor of 750, 195, 471, 747 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 750, 195, 471, 747
The greatest common divisor of numbers 750, 195, 471, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 195, 471, 747 is 3.
1. What is the GCD of 750, 195, 471, 747?
GCD of given numbers 750, 195, 471, 747 is 3
2. How to calculate the greatest common divisor of 750, 195, 471, 747?
We can find the highest common divisor of 750, 195, 471, 747 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 750, 195, 471, 747 i.e 3.
3. How can I use the GCD of 750, 195, 471, 747Calculator?
Out the numbers 750, 195, 471, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.