Online GCD Calculator is useful to find the GCD of 220, 295, 495, 155 quickly. Get the easiest ways to solve the greatest common divisor of 220, 295, 495, 155 i.e 5 in different methods as follows.
Given Input numbers are 220, 295, 495, 155
In the factoring method, we have to find the divisors of all numbers
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 295 :
The positive integer divisors of 295 that completely divides 295 are.
1, 5, 59, 295
Divisors of 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 155 :
The positive integer divisors of 155 that completely divides 155 are.
1, 5, 31, 155
GCD of numbers is the greatest common divisor
So, the GCD (220, 295, 495, 155) = 5.
Given numbers are 220, 295, 495, 155
The list of prime factors of all numbers are
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 295 are 5 x 59
Prime factors of 495 are 3 x 3 x 5 x 11
Prime factors of 155 are 5 x 31
The highest common occurrence is 51
Therefore, GCD of 220, 295, 495, 155 is 5.
Given numbers are 220, 295, 495, 155
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(220, 295) = 12980
GCD(220, 295) = ( 220 x 295 ) / 12980
= 220 / 295
= 220
Step2:
LCM(5, 495) = 495
GCD(5, 495) = ( 5 x 495 ) / 495
= 5 / 495
= 5
Step3:
LCM(5, 155) = 155
GCD(5, 155) = ( 5 x 155 ) / 155
= 5 / 155
= 5
So, Greatest Common Divisor of 220, 295, 495, 155 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 220, 295, 495, 155
The greatest common divisor of numbers 220, 295, 495, 155 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 295, 495, 155 is 5.
1. What is the GCD of 220, 295, 495, 155?
GCD of given numbers 220, 295, 495, 155 is 5
2. How to calculate the greatest common divisor of 220, 295, 495, 155?
We can find the highest common divisor of 220, 295, 495, 155 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 220, 295, 495, 155 i.e 5.
3. How can I use the GCD of 220, 295, 495, 155Calculator?
Out the numbers 220, 295, 495, 155 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.