Online GCD Calculator is useful to find the GCD of 135, 271, 113, 756 quickly. Get the easiest ways to solve the greatest common divisor of 135, 271, 113, 756 i.e 1 in different methods as follows.
Given Input numbers are 135, 271, 113, 756
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 271 :
The positive integer divisors of 271 that completely divides 271 are.
1, 271
Divisors of 113 :
The positive integer divisors of 113 that completely divides 113 are.
1, 113
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
GCD of numbers is the greatest common divisor
So, the GCD (135, 271, 113, 756) = 1.
Given numbers are 135, 271, 113, 756
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 271 are 271
Prime factors of 113 are 113
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 135, 271, 113, 756
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 271) = 36585
GCD(135, 271) = ( 135 x 271 ) / 36585
= 135 / 271
= 135
Step2:
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
= 1 / 113
= 1
Step3:
LCM(1, 756) = 756
GCD(1, 756) = ( 1 x 756 ) / 756
= 1 / 756
= 1
So, Greatest Common Divisor of 135, 271, 113, 756 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 271, 113, 756
The greatest common divisor of numbers 135, 271, 113, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 271, 113, 756 is 1.
1. What is the GCD of 135, 271, 113, 756?
GCD of given numbers 135, 271, 113, 756 is 1
2. How to calculate the greatest common divisor of 135, 271, 113, 756?
We can find the highest common divisor of 135, 271, 113, 756 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, 271, 113, 756 i.e 1.
3. How can I use the GCD of 135, 271, 113, 756Calculator?
Out the numbers 135, 271, 113, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.