Online GCD Calculator is useful to find the GCD of 135, 313, 452, 705 quickly. Get the easiest ways to solve the greatest common divisor of 135, 313, 452, 705 i.e 1 in different methods as follows.
Given Input numbers are 135, 313, 452, 705
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 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
GCD of numbers is the greatest common divisor
So, the GCD (135, 313, 452, 705) = 1.
Given numbers are 135, 313, 452, 705
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 313 are 313
Prime factors of 452 are 2 x 2 x 113
Prime factors of 705 are 3 x 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 135, 313, 452, 705
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 313) = 42255
GCD(135, 313) = ( 135 x 313 ) / 42255
= 135 / 313
= 135
Step2:
LCM(1, 452) = 452
GCD(1, 452) = ( 1 x 452 ) / 452
= 1 / 452
= 1
Step3:
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
= 1 / 705
= 1
So, Greatest Common Divisor of 135, 313, 452, 705 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 313, 452, 705
The greatest common divisor of numbers 135, 313, 452, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 313, 452, 705 is 1.
1. What is the GCD of 135, 313, 452, 705?
GCD of given numbers 135, 313, 452, 705 is 1
2. How to calculate the greatest common divisor of 135, 313, 452, 705?
We can find the highest common divisor of 135, 313, 452, 705 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, 313, 452, 705 i.e 1.
3. How can I use the GCD of 135, 313, 452, 705Calculator?
Out the numbers 135, 313, 452, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.