Online GCD Calculator is useful to find the GCD of 456, 367, 767, 208 quickly. Get the easiest ways to solve the greatest common divisor of 456, 367, 767, 208 i.e 1 in different methods as follows.
Given Input numbers are 456, 367, 767, 208
In the factoring method, we have to find the divisors of all numbers
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 367 :
The positive integer divisors of 367 that completely divides 367 are.
1, 367
Divisors of 767 :
The positive integer divisors of 767 that completely divides 767 are.
1, 13, 59, 767
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
GCD of numbers is the greatest common divisor
So, the GCD (456, 367, 767, 208) = 1.
Given numbers are 456, 367, 767, 208
The list of prime factors of all numbers are
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 367 are 367
Prime factors of 767 are 13 x 59
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 456, 367, 767, 208
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(456, 367) = 167352
GCD(456, 367) = ( 456 x 367 ) / 167352
= 456 / 367
= 456
Step2:
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
= 1 / 767
= 1
Step3:
LCM(1, 208) = 208
GCD(1, 208) = ( 1 x 208 ) / 208
= 1 / 208
= 1
So, Greatest Common Divisor of 456, 367, 767, 208 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 456, 367, 767, 208
The greatest common divisor of numbers 456, 367, 767, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 367, 767, 208 is 1.
1. What is the GCD of 456, 367, 767, 208?
GCD of given numbers 456, 367, 767, 208 is 1
2. How to calculate the greatest common divisor of 456, 367, 767, 208?
We can find the highest common divisor of 456, 367, 767, 208 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 456, 367, 767, 208 i.e 1.
3. How can I use the GCD of 456, 367, 767, 208Calculator?
Out the numbers 456, 367, 767, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.