Online GCD Calculator is useful to find the GCD of 721, 315, 400, 161 quickly. Get the easiest ways to solve the greatest common divisor of 721, 315, 400, 161 i.e 1 in different methods as follows.
Given Input numbers are 721, 315, 400, 161
In the factoring method, we have to find the divisors of all numbers
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 161 :
The positive integer divisors of 161 that completely divides 161 are.
1, 7, 23, 161
GCD of numbers is the greatest common divisor
So, the GCD (721, 315, 400, 161) = 1.
Given numbers are 721, 315, 400, 161
The list of prime factors of all numbers are
Prime factors of 721 are 7 x 103
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 161 are 7 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 721, 315, 400, 161
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(721, 315) = 32445
GCD(721, 315) = ( 721 x 315 ) / 32445
= 721 / 315
= 721
Step2:
LCM(7, 400) = 2800
GCD(7, 400) = ( 7 x 400 ) / 2800
= 7 / 400
= 7
Step3:
LCM(1, 161) = 161
GCD(1, 161) = ( 1 x 161 ) / 161
= 1 / 161
= 1
So, Greatest Common Divisor of 721, 315, 400, 161 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 721, 315, 400, 161
The greatest common divisor of numbers 721, 315, 400, 161 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 721, 315, 400, 161 is 1.
1. What is the GCD of 721, 315, 400, 161?
GCD of given numbers 721, 315, 400, 161 is 1
2. How to calculate the greatest common divisor of 721, 315, 400, 161?
We can find the highest common divisor of 721, 315, 400, 161 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 721, 315, 400, 161 i.e 1.
3. How can I use the GCD of 721, 315, 400, 161Calculator?
Out the numbers 721, 315, 400, 161 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.