Online GCD Calculator is useful to find the GCD of 365, 260, 155, 110 quickly. Get the easiest ways to solve the greatest common divisor of 365, 260, 155, 110 i.e 5 in different methods as follows.
Given Input numbers are 365, 260, 155, 110
In the factoring method, we have to find the divisors of all numbers
Divisors of 365 :
The positive integer divisors of 365 that completely divides 365 are.
1, 5, 73, 365
Divisors of 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 155 :
The positive integer divisors of 155 that completely divides 155 are.
1, 5, 31, 155
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
GCD of numbers is the greatest common divisor
So, the GCD (365, 260, 155, 110) = 5.
Given numbers are 365, 260, 155, 110
The list of prime factors of all numbers are
Prime factors of 365 are 5 x 73
Prime factors of 260 are 2 x 2 x 5 x 13
Prime factors of 155 are 5 x 31
Prime factors of 110 are 2 x 5 x 11
The highest common occurrence is 51
Therefore, GCD of 365, 260, 155, 110 is 5.
Given numbers are 365, 260, 155, 110
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(365, 260) = 18980
GCD(365, 260) = ( 365 x 260 ) / 18980
= 365 / 260
= 365
Step2:
LCM(5, 155) = 155
GCD(5, 155) = ( 5 x 155 ) / 155
= 5 / 155
= 5
Step3:
LCM(5, 110) = 110
GCD(5, 110) = ( 5 x 110 ) / 110
= 5 / 110
= 5
So, Greatest Common Divisor of 365, 260, 155, 110 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 365, 260, 155, 110
The greatest common divisor of numbers 365, 260, 155, 110 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 365, 260, 155, 110 is 5.
1. What is the GCD of 365, 260, 155, 110?
GCD of given numbers 365, 260, 155, 110 is 5
2. How to calculate the greatest common divisor of 365, 260, 155, 110?
We can find the highest common divisor of 365, 260, 155, 110 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 365, 260, 155, 110 i.e 5.
3. How can I use the GCD of 365, 260, 155, 110Calculator?
Out the numbers 365, 260, 155, 110 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.