Online GCD Calculator is useful to find the GCD of 750, 390, 726, 400 quickly. Get the easiest ways to solve the greatest common divisor of 750, 390, 726, 400 i.e 2 in different methods as follows.
Given Input numbers are 750, 390, 726, 400
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 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD of numbers is the greatest common divisor
So, the GCD (750, 390, 726, 400) = 2.
Given numbers are 750, 390, 726, 400
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 390 are 2 x 3 x 5 x 13
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 750, 390, 726, 400 is 2.
Given numbers are 750, 390, 726, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(750, 390) = 9750
GCD(750, 390) = ( 750 x 390 ) / 9750
= 750 / 390
= 750
Step2:
LCM(30, 726) = 3630
GCD(30, 726) = ( 30 x 726 ) / 3630
= 30 / 726
= 30
Step3:
LCM(6, 400) = 1200
GCD(6, 400) = ( 6 x 400 ) / 1200
= 6 / 400
= 6
So, Greatest Common Divisor of 750, 390, 726, 400 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 750, 390, 726, 400
The greatest common divisor of numbers 750, 390, 726, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 390, 726, 400 is 2.
1. What is the GCD of 750, 390, 726, 400?
GCD of given numbers 750, 390, 726, 400 is 2
2. How to calculate the greatest common divisor of 750, 390, 726, 400?
We can find the highest common divisor of 750, 390, 726, 400 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, 390, 726, 400 i.e 2.
3. How can I use the GCD of 750, 390, 726, 400Calculator?
Out the numbers 750, 390, 726, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.