Online GCD Calculator is useful to find the GCD of 349, 109, 495, 220 quickly. Get the easiest ways to solve the greatest common divisor of 349, 109, 495, 220 i.e 1 in different methods as follows.
Given Input numbers are 349, 109, 495, 220
In the factoring method, we have to find the divisors of all numbers
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
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 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
GCD of numbers is the greatest common divisor
So, the GCD (349, 109, 495, 220) = 1.
Given numbers are 349, 109, 495, 220
The list of prime factors of all numbers are
Prime factors of 349 are 349
Prime factors of 109 are 109
Prime factors of 495 are 3 x 3 x 5 x 11
Prime factors of 220 are 2 x 2 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 349, 109, 495, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(349, 109) = 38041
GCD(349, 109) = ( 349 x 109 ) / 38041
= 349 / 109
= 349
Step2:
LCM(1, 495) = 495
GCD(1, 495) = ( 1 x 495 ) / 495
= 1 / 495
= 1
Step3:
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
= 1 / 220
= 1
So, Greatest Common Divisor of 349, 109, 495, 220 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 349, 109, 495, 220
The greatest common divisor of numbers 349, 109, 495, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 349, 109, 495, 220 is 1.
1. What is the GCD of 349, 109, 495, 220?
GCD of given numbers 349, 109, 495, 220 is 1
2. How to calculate the greatest common divisor of 349, 109, 495, 220?
We can find the highest common divisor of 349, 109, 495, 220 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 349, 109, 495, 220 i.e 1.
3. How can I use the GCD of 349, 109, 495, 220Calculator?
Out the numbers 349, 109, 495, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.