Online GCD Calculator is useful to find the GCD of 456, 788, 13, 177 quickly. Get the easiest ways to solve the greatest common divisor of 456, 788, 13, 177 i.e 1 in different methods as follows.
Given Input numbers are 456, 788, 13, 177
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 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
Divisors of 13 :
The positive integer divisors of 13 that completely divides 13 are.
1, 13
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
GCD of numbers is the greatest common divisor
So, the GCD (456, 788, 13, 177) = 1.
Given numbers are 456, 788, 13, 177
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 788 are 2 x 2 x 197
Prime factors of 13 are 13
Prime factors of 177 are 3 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 456, 788, 13, 177
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(456, 788) = 89832
GCD(456, 788) = ( 456 x 788 ) / 89832
= 456 / 788
= 456
Step2:
LCM(4, 13) = 52
GCD(4, 13) = ( 4 x 13 ) / 52
= 4 / 13
= 4
Step3:
LCM(1, 177) = 177
GCD(1, 177) = ( 1 x 177 ) / 177
= 1 / 177
= 1
So, Greatest Common Divisor of 456, 788, 13, 177 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 456, 788, 13, 177
The greatest common divisor of numbers 456, 788, 13, 177 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 788, 13, 177 is 1.
1. What is the GCD of 456, 788, 13, 177?
GCD of given numbers 456, 788, 13, 177 is 1
2. How to calculate the greatest common divisor of 456, 788, 13, 177?
We can find the highest common divisor of 456, 788, 13, 177 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, 788, 13, 177 i.e 1.
3. How can I use the GCD of 456, 788, 13, 177Calculator?
Out the numbers 456, 788, 13, 177 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.