Online GCD Calculator is useful to find the GCD of 272, 649, 199, 616 quickly. Get the easiest ways to solve the greatest common divisor of 272, 649, 199, 616 i.e 1 in different methods as follows.
Given Input numbers are 272, 649, 199, 616
In the factoring method, we have to find the divisors of all numbers
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
Divisors of 199 :
The positive integer divisors of 199 that completely divides 199 are.
1, 199
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
GCD of numbers is the greatest common divisor
So, the GCD (272, 649, 199, 616) = 1.
Given numbers are 272, 649, 199, 616
The list of prime factors of all numbers are
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 649 are 11 x 59
Prime factors of 199 are 199
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 272, 649, 199, 616
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 649) = 176528
GCD(272, 649) = ( 272 x 649 ) / 176528
= 272 / 649
= 272
Step2:
LCM(1, 199) = 199
GCD(1, 199) = ( 1 x 199 ) / 199
= 1 / 199
= 1
Step3:
LCM(1, 616) = 616
GCD(1, 616) = ( 1 x 616 ) / 616
= 1 / 616
= 1
So, Greatest Common Divisor of 272, 649, 199, 616 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 649, 199, 616
The greatest common divisor of numbers 272, 649, 199, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 649, 199, 616 is 1.
1. What is the GCD of 272, 649, 199, 616?
GCD of given numbers 272, 649, 199, 616 is 1
2. How to calculate the greatest common divisor of 272, 649, 199, 616?
We can find the highest common divisor of 272, 649, 199, 616 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 272, 649, 199, 616 i.e 1.
3. How can I use the GCD of 272, 649, 199, 616Calculator?
Out the numbers 272, 649, 199, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.