Online GCD Calculator is useful to find the GCD of 240, 721, 750, 780 quickly. Get the easiest ways to solve the greatest common divisor of 240, 721, 750, 780 i.e 1 in different methods as follows.
Given Input numbers are 240, 721, 750, 780
In the factoring method, we have to find the divisors of all numbers
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
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 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
GCD of numbers is the greatest common divisor
So, the GCD (240, 721, 750, 780) = 1.
Given numbers are 240, 721, 750, 780
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 721 are 7 x 103
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 240, 721, 750, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 721) = 173040
GCD(240, 721) = ( 240 x 721 ) / 173040
= 240 / 721
= 240
Step2:
LCM(1, 750) = 750
GCD(1, 750) = ( 1 x 750 ) / 750
= 1 / 750
= 1
Step3:
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
= 1 / 780
= 1
So, Greatest Common Divisor of 240, 721, 750, 780 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 721, 750, 780
The greatest common divisor of numbers 240, 721, 750, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 721, 750, 780 is 1.
1. What is the GCD of 240, 721, 750, 780?
GCD of given numbers 240, 721, 750, 780 is 1
2. How to calculate the greatest common divisor of 240, 721, 750, 780?
We can find the highest common divisor of 240, 721, 750, 780 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 240, 721, 750, 780 i.e 1.
3. How can I use the GCD of 240, 721, 750, 780Calculator?
Out the numbers 240, 721, 750, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.