Online GCD Calculator is useful to find the GCD of 750, 470, 510, 788 quickly. Get the easiest ways to solve the greatest common divisor of 750, 470, 510, 788 i.e 2 in different methods as follows.
Given Input numbers are 750, 470, 510, 788
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 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
GCD of numbers is the greatest common divisor
So, the GCD (750, 470, 510, 788) = 2.
Given numbers are 750, 470, 510, 788
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 470 are 2 x 5 x 47
Prime factors of 510 are 2 x 3 x 5 x 17
Prime factors of 788 are 2 x 2 x 197
The highest common occurrence is 21
Therefore, GCD of 750, 470, 510, 788 is 2.
Given numbers are 750, 470, 510, 788
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(750, 470) = 35250
GCD(750, 470) = ( 750 x 470 ) / 35250
= 750 / 470
= 750
Step2:
LCM(10, 510) = 510
GCD(10, 510) = ( 10 x 510 ) / 510
= 10 / 510
= 10
Step3:
LCM(10, 788) = 3940
GCD(10, 788) = ( 10 x 788 ) / 3940
= 10 / 788
= 10
So, Greatest Common Divisor of 750, 470, 510, 788 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 750, 470, 510, 788
The greatest common divisor of numbers 750, 470, 510, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 470, 510, 788 is 2.
1. What is the GCD of 750, 470, 510, 788?
GCD of given numbers 750, 470, 510, 788 is 2
2. How to calculate the greatest common divisor of 750, 470, 510, 788?
We can find the highest common divisor of 750, 470, 510, 788 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, 470, 510, 788 i.e 2.
3. How can I use the GCD of 750, 470, 510, 788Calculator?
Out the numbers 750, 470, 510, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.