Online GCD Calculator is useful to find the GCD of 753, 421, 422, 721 quickly. Get the easiest ways to solve the greatest common divisor of 753, 421, 422, 721 i.e 1 in different methods as follows.
Given Input numbers are 753, 421, 422, 721
In the factoring method, we have to find the divisors of all numbers
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
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 (753, 421, 422, 721) = 1.
Given numbers are 753, 421, 422, 721
The list of prime factors of all numbers are
Prime factors of 753 are 3 x 251
Prime factors of 421 are 421
Prime factors of 422 are 2 x 211
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 753, 421, 422, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(753, 421) = 317013
GCD(753, 421) = ( 753 x 421 ) / 317013
= 753 / 421
= 753
Step2:
LCM(1, 422) = 422
GCD(1, 422) = ( 1 x 422 ) / 422
= 1 / 422
= 1
Step3:
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
= 1 / 721
= 1
So, Greatest Common Divisor of 753, 421, 422, 721 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 753, 421, 422, 721
The greatest common divisor of numbers 753, 421, 422, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 421, 422, 721 is 1.
1. What is the GCD of 753, 421, 422, 721?
GCD of given numbers 753, 421, 422, 721 is 1
2. How to calculate the greatest common divisor of 753, 421, 422, 721?
We can find the highest common divisor of 753, 421, 422, 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 753, 421, 422, 721 i.e 1.
3. How can I use the GCD of 753, 421, 422, 721Calculator?
Out the numbers 753, 421, 422, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.