Online GCD Calculator is useful to find the GCD of 305, 340, 655, 355 quickly. Get the easiest ways to solve the greatest common divisor of 305, 340, 655, 355 i.e 5 in different methods as follows.
Given Input numbers are 305, 340, 655, 355
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 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 655 :
The positive integer divisors of 655 that completely divides 655 are.
1, 5, 131, 655
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
GCD of numbers is the greatest common divisor
So, the GCD (305, 340, 655, 355) = 5.
Given numbers are 305, 340, 655, 355
The list of prime factors of all numbers are
Prime factors of 305 are 5 x 61
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 655 are 5 x 131
Prime factors of 355 are 5 x 71
The highest common occurrence is 51
Therefore, GCD of 305, 340, 655, 355 is 5.
Given numbers are 305, 340, 655, 355
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(305, 340) = 20740
GCD(305, 340) = ( 305 x 340 ) / 20740
= 305 / 340
= 305
Step2:
LCM(5, 655) = 655
GCD(5, 655) = ( 5 x 655 ) / 655
= 5 / 655
= 5
Step3:
LCM(5, 355) = 355
GCD(5, 355) = ( 5 x 355 ) / 355
= 5 / 355
= 5
So, Greatest Common Divisor of 305, 340, 655, 355 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 305, 340, 655, 355
The greatest common divisor of numbers 305, 340, 655, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 305, 340, 655, 355 is 5.
1. What is the GCD of 305, 340, 655, 355?
GCD of given numbers 305, 340, 655, 355 is 5
2. How to calculate the greatest common divisor of 305, 340, 655, 355?
We can find the highest common divisor of 305, 340, 655, 355 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, 340, 655, 355 i.e 5.
3. How can I use the GCD of 305, 340, 655, 355Calculator?
Out the numbers 305, 340, 655, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.