Online GCD Calculator is useful to find the GCD of 267, 708, 456, 460 quickly. Get the easiest ways to solve the greatest common divisor of 267, 708, 456, 460 i.e 1 in different methods as follows.
Given Input numbers are 267, 708, 456, 460
In the factoring method, we have to find the divisors of all numbers
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
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 (267, 708, 456, 460) = 1.
Given numbers are 267, 708, 456, 460
The list of prime factors of all numbers are
Prime factors of 267 are 3 x 89
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
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 267, 708, 456, 460
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(267, 708) = 63012
GCD(267, 708) = ( 267 x 708 ) / 63012
= 267 / 708
= 267
Step2:
LCM(3, 456) = 456
GCD(3, 456) = ( 3 x 456 ) / 456
= 3 / 456
= 3
Step3:
LCM(3, 460) = 1380
GCD(3, 460) = ( 3 x 460 ) / 1380
= 3 / 460
= 3
So, Greatest Common Divisor of 267, 708, 456, 460 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 267, 708, 456, 460
The greatest common divisor of numbers 267, 708, 456, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 708, 456, 460 is 1.
1. What is the GCD of 267, 708, 456, 460?
GCD of given numbers 267, 708, 456, 460 is 1
2. How to calculate the greatest common divisor of 267, 708, 456, 460?
We can find the highest common divisor of 267, 708, 456, 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 267, 708, 456, 460 i.e 1.
3. How can I use the GCD of 267, 708, 456, 460Calculator?
Out the numbers 267, 708, 456, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.