Online GCD Calculator is useful to find the GCD of 356, 305, 21, 721 quickly. Get the easiest ways to solve the greatest common divisor of 356, 305, 21, 721 i.e 1 in different methods as follows.
Given Input numbers are 356, 305, 21, 721
In the factoring method, we have to find the divisors of all numbers
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 305 :
The positive integer divisors of 305 that completely divides 305 are.
1, 5, 61, 305
Divisors of 21 :
The positive integer divisors of 21 that completely divides 21 are.
1, 3, 7, 21
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 (356, 305, 21, 721) = 1.
Given numbers are 356, 305, 21, 721
The list of prime factors of all numbers are
Prime factors of 356 are 2 x 2 x 89
Prime factors of 305 are 5 x 61
Prime factors of 21 are 3 x 7
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 356, 305, 21, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(356, 305) = 108580
GCD(356, 305) = ( 356 x 305 ) / 108580
= 356 / 305
= 356
Step2:
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
= 1 / 21
= 1
Step3:
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
= 1 / 721
= 1
So, Greatest Common Divisor of 356, 305, 21, 721 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 356, 305, 21, 721
The greatest common divisor of numbers 356, 305, 21, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 305, 21, 721 is 1.
1. What is the GCD of 356, 305, 21, 721?
GCD of given numbers 356, 305, 21, 721 is 1
2. How to calculate the greatest common divisor of 356, 305, 21, 721?
We can find the highest common divisor of 356, 305, 21, 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 356, 305, 21, 721 i.e 1.
3. How can I use the GCD of 356, 305, 21, 721Calculator?
Out the numbers 356, 305, 21, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.