Online GCD Calculator is useful to find the GCD of 449, 616, 113, 698 quickly. Get the easiest ways to solve the greatest common divisor of 449, 616, 113, 698 i.e 1 in different methods as follows.
Given Input numbers are 449, 616, 113, 698
In the factoring method, we have to find the divisors of all numbers
Divisors of 449 :
The positive integer divisors of 449 that completely divides 449 are.
1, 449
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 113 :
The positive integer divisors of 113 that completely divides 113 are.
1, 113
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
GCD of numbers is the greatest common divisor
So, the GCD (449, 616, 113, 698) = 1.
Given numbers are 449, 616, 113, 698
The list of prime factors of all numbers are
Prime factors of 449 are 449
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 113 are 113
Prime factors of 698 are 2 x 349
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 449, 616, 113, 698
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(449, 616) = 276584
GCD(449, 616) = ( 449 x 616 ) / 276584
= 449 / 616
= 449
Step2:
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
= 1 / 113
= 1
Step3:
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
= 1 / 698
= 1
So, Greatest Common Divisor of 449, 616, 113, 698 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 449, 616, 113, 698
The greatest common divisor of numbers 449, 616, 113, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 449, 616, 113, 698 is 1.
1. What is the GCD of 449, 616, 113, 698?
GCD of given numbers 449, 616, 113, 698 is 1
2. How to calculate the greatest common divisor of 449, 616, 113, 698?
We can find the highest common divisor of 449, 616, 113, 698 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 449, 616, 113, 698 i.e 1.
3. How can I use the GCD of 449, 616, 113, 698Calculator?
Out the numbers 449, 616, 113, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.