Online GCD Calculator is useful to find the GCD of 704, 501, 418, 321 quickly. Get the easiest ways to solve the greatest common divisor of 704, 501, 418, 321 i.e 1 in different methods as follows.
Given Input numbers are 704, 501, 418, 321
In the factoring method, we have to find the divisors of all numbers
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 501 :
The positive integer divisors of 501 that completely divides 501 are.
1, 3, 167, 501
Divisors of 418 :
The positive integer divisors of 418 that completely divides 418 are.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
GCD of numbers is the greatest common divisor
So, the GCD (704, 501, 418, 321) = 1.
Given numbers are 704, 501, 418, 321
The list of prime factors of all numbers are
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 501 are 3 x 167
Prime factors of 418 are 2 x 11 x 19
Prime factors of 321 are 3 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 704, 501, 418, 321
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(704, 501) = 352704
GCD(704, 501) = ( 704 x 501 ) / 352704
= 704 / 501
= 704
Step2:
LCM(1, 418) = 418
GCD(1, 418) = ( 1 x 418 ) / 418
= 1 / 418
= 1
Step3:
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
= 1 / 321
= 1
So, Greatest Common Divisor of 704, 501, 418, 321 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 704, 501, 418, 321
The greatest common divisor of numbers 704, 501, 418, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 501, 418, 321 is 1.
1. What is the GCD of 704, 501, 418, 321?
GCD of given numbers 704, 501, 418, 321 is 1
2. How to calculate the greatest common divisor of 704, 501, 418, 321?
We can find the highest common divisor of 704, 501, 418, 321 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 704, 501, 418, 321 i.e 1.
3. How can I use the GCD of 704, 501, 418, 321Calculator?
Out the numbers 704, 501, 418, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.