Online GCD Calculator is useful to find the GCD of 135, 245, 690 quickly. Get the easiest ways to solve the greatest common divisor of 135, 245, 690 i.e 5 in different methods as follows.
Given Input numbers are 135, 245, 690
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 245 :
The positive integer divisors of 245 that completely divides 245 are.
1, 5, 7, 35, 49, 245
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
GCD of numbers is the greatest common divisor
So, the GCD (135, 245, 690) = 5.
Given numbers are 135, 245, 690
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 245 are 5 x 7 x 7
Prime factors of 690 are 2 x 3 x 5 x 23
The highest common occurrence is 51
Therefore, GCD of 135, 245, 690 is 5.
Given numbers are 135, 245, 690
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 245) = 6615
GCD(135, 245) = ( 135 x 245 ) / 6615
= 135 / 245
= 135
Step2:
LCM(5, 690) = 690
GCD(5, 690) = ( 5 x 690 ) / 690
= 5 / 690
= 5
So, Greatest Common Divisor of 135, 245, 690 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 245, 690
The greatest common divisor of numbers 135, 245, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 245, 690 is 5.
1. What is the GCD of 135, 245, 690?
GCD of given numbers 135, 245, 690 is 5
2. How to calculate the greatest common divisor of 135, 245, 690?
We can find the highest common divisor of 135, 245, 690 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, 245, 690 i.e 5.
3. How can I use the GCD of 135, 245, 690Calculator?
Out the numbers 135, 245, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.