Online GCD Calculator is useful to find the GCD of 272, 614, 737, 480 quickly. Get the easiest ways to solve the greatest common divisor of 272, 614, 737, 480 i.e 1 in different methods as follows.
Given Input numbers are 272, 614, 737, 480
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 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 737 :
The positive integer divisors of 737 that completely divides 737 are.
1, 11, 67, 737
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
GCD of numbers is the greatest common divisor
So, the GCD (272, 614, 737, 480) = 1.
Given numbers are 272, 614, 737, 480
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 614 are 2 x 307
Prime factors of 737 are 11 x 67
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 272, 614, 737, 480
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 614) = 83504
GCD(272, 614) = ( 272 x 614 ) / 83504
= 272 / 614
= 272
Step2:
LCM(2, 737) = 1474
GCD(2, 737) = ( 2 x 737 ) / 1474
= 2 / 737
= 2
Step3:
LCM(1, 480) = 480
GCD(1, 480) = ( 1 x 480 ) / 480
= 1 / 480
= 1
So, Greatest Common Divisor of 272, 614, 737, 480 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 614, 737, 480
The greatest common divisor of numbers 272, 614, 737, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 614, 737, 480 is 1.
1. What is the GCD of 272, 614, 737, 480?
GCD of given numbers 272, 614, 737, 480 is 1
2. How to calculate the greatest common divisor of 272, 614, 737, 480?
We can find the highest common divisor of 272, 614, 737, 480 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, 614, 737, 480 i.e 1.
3. How can I use the GCD of 272, 614, 737, 480Calculator?
Out the numbers 272, 614, 737, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.