Online GCD Calculator is useful to find the GCD of 135, 135, 291, 249 quickly. Get the easiest ways to solve the greatest common divisor of 135, 135, 291, 249 i.e 3 in different methods as follows.
Given Input numbers are 135, 135, 291, 249
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 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 291 :
The positive integer divisors of 291 that completely divides 291 are.
1, 3, 97, 291
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
GCD of numbers is the greatest common divisor
So, the GCD (135, 135, 291, 249) = 3.
Given numbers are 135, 135, 291, 249
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 291 are 3 x 97
Prime factors of 249 are 3 x 83
The highest common occurrence is 31
Therefore, GCD of 135, 135, 291, 249 is 3.
Given numbers are 135, 135, 291, 249
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 135) = 135
GCD(135, 135) = ( 135 x 135 ) / 135
= 135 / 135
= 135
Step2:
LCM(135, 291) = 13095
GCD(135, 291) = ( 135 x 291 ) / 13095
= 135 / 291
= 135
Step3:
LCM(3, 249) = 249
GCD(3, 249) = ( 3 x 249 ) / 249
= 3 / 249
= 3
So, Greatest Common Divisor of 135, 135, 291, 249 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 135, 291, 249
The greatest common divisor of numbers 135, 135, 291, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 135, 291, 249 is 3.
1. What is the GCD of 135, 135, 291, 249?
GCD of given numbers 135, 135, 291, 249 is 3
2. How to calculate the greatest common divisor of 135, 135, 291, 249?
We can find the highest common divisor of 135, 135, 291, 249 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, 135, 291, 249 i.e 3.
3. How can I use the GCD of 135, 135, 291, 249Calculator?
Out the numbers 135, 135, 291, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.