Online GCD Calculator is useful to find the GCD of 135, 720, 684, 452 quickly. Get the easiest ways to solve the greatest common divisor of 135, 720, 684, 452 i.e 1 in different methods as follows.
Given Input numbers are 135, 720, 684, 452
In the factoring method, we have to find the divisors of all numbers
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
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 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
GCD of numbers is the greatest common divisor
So, the GCD (135, 720, 684, 452) = 1.
Given numbers are 135, 720, 684, 452
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 452 are 2 x 2 x 113
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 135, 720, 684, 452
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 720) = 2160
GCD(135, 720) = ( 135 x 720 ) / 2160
= 135 / 720
= 135
Step2:
LCM(45, 684) = 3420
GCD(45, 684) = ( 45 x 684 ) / 3420
= 45 / 684
= 45
Step3:
LCM(9, 452) = 4068
GCD(9, 452) = ( 9 x 452 ) / 4068
= 9 / 452
= 9
So, Greatest Common Divisor of 135, 720, 684, 452 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 720, 684, 452
The greatest common divisor of numbers 135, 720, 684, 452 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 720, 684, 452 is 1.
1. What is the GCD of 135, 720, 684, 452?
GCD of given numbers 135, 720, 684, 452 is 1
2. How to calculate the greatest common divisor of 135, 720, 684, 452?
We can find the highest common divisor of 135, 720, 684, 452 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 135, 720, 684, 452 i.e 1.
3. How can I use the GCD of 135, 720, 684, 452Calculator?
Out the numbers 135, 720, 684, 452 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.