Online GCD Calculator is useful to find the GCD of 878, 144, 390, 721 quickly. Get the easiest ways to solve the greatest common divisor of 878, 144, 390, 721 i.e 1 in different methods as follows.
Given Input numbers are 878, 144, 390, 721
In the factoring method, we have to find the divisors of all numbers
Divisors of 878 :
The positive integer divisors of 878 that completely divides 878 are.
1, 2, 439, 878
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
GCD of numbers is the greatest common divisor
So, the GCD (878, 144, 390, 721) = 1.
Given numbers are 878, 144, 390, 721
The list of prime factors of all numbers are
Prime factors of 878 are 2 x 439
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 721 are 7 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 878, 144, 390, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(878, 144) = 63216
GCD(878, 144) = ( 878 x 144 ) / 63216
= 878 / 144
= 878
Step2:
LCM(2, 390) = 390
GCD(2, 390) = ( 2 x 390 ) / 390
= 2 / 390
= 2
Step3:
LCM(2, 721) = 1442
GCD(2, 721) = ( 2 x 721 ) / 1442
= 2 / 721
= 2
So, Greatest Common Divisor of 878, 144, 390, 721 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 878, 144, 390, 721
The greatest common divisor of numbers 878, 144, 390, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 878, 144, 390, 721 is 1.
1. What is the GCD of 878, 144, 390, 721?
GCD of given numbers 878, 144, 390, 721 is 1
2. How to calculate the greatest common divisor of 878, 144, 390, 721?
We can find the highest common divisor of 878, 144, 390, 721 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 878, 144, 390, 721 i.e 1.
3. How can I use the GCD of 878, 144, 390, 721Calculator?
Out the numbers 878, 144, 390, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.