Online GCD Calculator is useful to find the GCD of 305, 335, 520, 265 quickly. Get the easiest ways to solve the greatest common divisor of 305, 335, 520, 265 i.e 5 in different methods as follows.
Given Input numbers are 305, 335, 520, 265
In the factoring method, we have to find the divisors of all numbers
Divisors of 305 :
The positive integer divisors of 305 that completely divides 305 are.
1, 5, 61, 305
Divisors of 335 :
The positive integer divisors of 335 that completely divides 335 are.
1, 5, 67, 335
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 265 :
The positive integer divisors of 265 that completely divides 265 are.
1, 5, 53, 265
GCD of numbers is the greatest common divisor
So, the GCD (305, 335, 520, 265) = 5.
Given numbers are 305, 335, 520, 265
The list of prime factors of all numbers are
Prime factors of 305 are 5 x 61
Prime factors of 335 are 5 x 67
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 265 are 5 x 53
The highest common occurrence is 51
Therefore, GCD of 305, 335, 520, 265 is 5.
Given numbers are 305, 335, 520, 265
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(305, 335) = 20435
GCD(305, 335) = ( 305 x 335 ) / 20435
= 305 / 335
= 305
Step2:
LCM(5, 520) = 520
GCD(5, 520) = ( 5 x 520 ) / 520
= 5 / 520
= 5
Step3:
LCM(5, 265) = 265
GCD(5, 265) = ( 5 x 265 ) / 265
= 5 / 265
= 5
So, Greatest Common Divisor of 305, 335, 520, 265 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 305, 335, 520, 265
The greatest common divisor of numbers 305, 335, 520, 265 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 305, 335, 520, 265 is 5.
1. What is the GCD of 305, 335, 520, 265?
GCD of given numbers 305, 335, 520, 265 is 5
2. How to calculate the greatest common divisor of 305, 335, 520, 265?
We can find the highest common divisor of 305, 335, 520, 265 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 305, 335, 520, 265 i.e 5.
3. How can I use the GCD of 305, 335, 520, 265Calculator?
Out the numbers 305, 335, 520, 265 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.