Online GCD Calculator is useful to find the GCD of 530, 850, 240, 135 quickly. Get the easiest ways to solve the greatest common divisor of 530, 850, 240, 135 i.e 5 in different methods as follows.
Given Input numbers are 530, 850, 240, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 850 :
The positive integer divisors of 850 that completely divides 850 are.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (530, 850, 240, 135) = 5.
Given numbers are 530, 850, 240, 135
The list of prime factors of all numbers are
Prime factors of 530 are 2 x 5 x 53
Prime factors of 850 are 2 x 5 x 5 x 17
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 135 are 3 x 3 x 3 x 5
The highest common occurrence is 51
Therefore, GCD of 530, 850, 240, 135 is 5.
Given numbers are 530, 850, 240, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(530, 850) = 45050
GCD(530, 850) = ( 530 x 850 ) / 45050
= 530 / 850
= 530
Step2:
LCM(10, 240) = 240
GCD(10, 240) = ( 10 x 240 ) / 240
= 10 / 240
= 10
Step3:
LCM(10, 135) = 270
GCD(10, 135) = ( 10 x 135 ) / 270
= 10 / 135
= 10
So, Greatest Common Divisor of 530, 850, 240, 135 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 530, 850, 240, 135
The greatest common divisor of numbers 530, 850, 240, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 850, 240, 135 is 5.
1. What is the GCD of 530, 850, 240, 135?
GCD of given numbers 530, 850, 240, 135 is 5
2. How to calculate the greatest common divisor of 530, 850, 240, 135?
We can find the highest common divisor of 530, 850, 240, 135 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 530, 850, 240, 135 i.e 5.
3. How can I use the GCD of 530, 850, 240, 135Calculator?
Out the numbers 530, 850, 240, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.