Online GCD Calculator is useful to find the GCD of 672, 311, 273, 460 quickly. Get the easiest ways to solve the greatest common divisor of 672, 311, 273, 460 i.e 1 in different methods as follows.
Given Input numbers are 672, 311, 273, 460
In the factoring method, we have to find the divisors of all numbers
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
GCD of numbers is the greatest common divisor
So, the GCD (672, 311, 273, 460) = 1.
Given numbers are 672, 311, 273, 460
The list of prime factors of all numbers are
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 311 are 311
Prime factors of 273 are 3 x 7 x 13
Prime factors of 460 are 2 x 2 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 672, 311, 273, 460
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 311) = 208992
GCD(672, 311) = ( 672 x 311 ) / 208992
= 672 / 311
= 672
Step2:
LCM(1, 273) = 273
GCD(1, 273) = ( 1 x 273 ) / 273
= 1 / 273
= 1
Step3:
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
= 1 / 460
= 1
So, Greatest Common Divisor of 672, 311, 273, 460 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 672, 311, 273, 460
The greatest common divisor of numbers 672, 311, 273, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 311, 273, 460 is 1.
1. What is the GCD of 672, 311, 273, 460?
GCD of given numbers 672, 311, 273, 460 is 1
2. How to calculate the greatest common divisor of 672, 311, 273, 460?
We can find the highest common divisor of 672, 311, 273, 460 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 672, 311, 273, 460 i.e 1.
3. How can I use the GCD of 672, 311, 273, 460Calculator?
Out the numbers 672, 311, 273, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.