Online GCD Calculator is useful to find the GCD of 753, 276, 689, 720 quickly. Get the easiest ways to solve the greatest common divisor of 753, 276, 689, 720 i.e 1 in different methods as follows.
Given Input numbers are 753, 276, 689, 720
In the factoring method, we have to find the divisors of all numbers
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
GCD of numbers is the greatest common divisor
So, the GCD (753, 276, 689, 720) = 1.
Given numbers are 753, 276, 689, 720
The list of prime factors of all numbers are
Prime factors of 753 are 3 x 251
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 689 are 13 x 53
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 753, 276, 689, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(753, 276) = 69276
GCD(753, 276) = ( 753 x 276 ) / 69276
= 753 / 276
= 753
Step2:
LCM(3, 689) = 2067
GCD(3, 689) = ( 3 x 689 ) / 2067
= 3 / 689
= 3
Step3:
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
= 1 / 720
= 1
So, Greatest Common Divisor of 753, 276, 689, 720 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 753, 276, 689, 720
The greatest common divisor of numbers 753, 276, 689, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 276, 689, 720 is 1.
1. What is the GCD of 753, 276, 689, 720?
GCD of given numbers 753, 276, 689, 720 is 1
2. How to calculate the greatest common divisor of 753, 276, 689, 720?
We can find the highest common divisor of 753, 276, 689, 720 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 753, 276, 689, 720 i.e 1.
3. How can I use the GCD of 753, 276, 689, 720Calculator?
Out the numbers 753, 276, 689, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.