Online GCD Calculator is useful to find the GCD of 720, 204, 757, 745 quickly. Get the easiest ways to solve the greatest common divisor of 720, 204, 757, 745 i.e 1 in different methods as follows.
Given Input numbers are 720, 204, 757, 745
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 757 :
The positive integer divisors of 757 that completely divides 757 are.
1, 757
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
GCD of numbers is the greatest common divisor
So, the GCD (720, 204, 757, 745) = 1.
Given numbers are 720, 204, 757, 745
The list of prime factors of all numbers are
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 757 are 757
Prime factors of 745 are 5 x 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 720, 204, 757, 745
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 204) = 12240
GCD(720, 204) = ( 720 x 204 ) / 12240
= 720 / 204
= 720
Step2:
LCM(12, 757) = 9084
GCD(12, 757) = ( 12 x 757 ) / 9084
= 12 / 757
= 12
Step3:
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
= 1 / 745
= 1
So, Greatest Common Divisor of 720, 204, 757, 745 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 204, 757, 745
The greatest common divisor of numbers 720, 204, 757, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 204, 757, 745 is 1.
1. What is the GCD of 720, 204, 757, 745?
GCD of given numbers 720, 204, 757, 745 is 1
2. How to calculate the greatest common divisor of 720, 204, 757, 745?
We can find the highest common divisor of 720, 204, 757, 745 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 720, 204, 757, 745 i.e 1.
3. How can I use the GCD of 720, 204, 757, 745Calculator?
Out the numbers 720, 204, 757, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.