Online GCD Calculator is useful to find the GCD of 275, 616, 349 quickly. Get the easiest ways to solve the greatest common divisor of 275, 616, 349 i.e 1 in different methods as follows.
Given Input numbers are 275, 616, 349
In the factoring method, we have to find the divisors of all numbers
Divisors of 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
GCD of numbers is the greatest common divisor
So, the GCD (275, 616, 349) = 1.
Given numbers are 275, 616, 349
The list of prime factors of all numbers are
Prime factors of 275 are 5 x 5 x 11
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 349 are 349
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 275, 616, 349
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(275, 616) = 15400
GCD(275, 616) = ( 275 x 616 ) / 15400
= 275 / 616
= 275
Step2:
LCM(11, 349) = 3839
GCD(11, 349) = ( 11 x 349 ) / 3839
= 11 / 349
= 11
So, Greatest Common Divisor of 275, 616, 349 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 275, 616, 349
The greatest common divisor of numbers 275, 616, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 275, 616, 349 is 1.
1. What is the GCD of 275, 616, 349?
GCD of given numbers 275, 616, 349 is 1
2. How to calculate the greatest common divisor of 275, 616, 349?
We can find the highest common divisor of 275, 616, 349 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 275, 616, 349 i.e 1.
3. How can I use the GCD of 275, 616, 349Calculator?
Out the numbers 275, 616, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.