Online GCD Calculator is useful to find the GCD of 586, 628, 971, 721 quickly. Get the easiest ways to solve the greatest common divisor of 586, 628, 971, 721 i.e 1 in different methods as follows.
Given Input numbers are 586, 628, 971, 721
In the factoring method, we have to find the divisors of all numbers
Divisors of 586 :
The positive integer divisors of 586 that completely divides 586 are.
1, 2, 293, 586
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
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 (586, 628, 971, 721) = 1.
Given numbers are 586, 628, 971, 721
The list of prime factors of all numbers are
Prime factors of 586 are 2 x 293
Prime factors of 628 are 2 x 2 x 157
Prime factors of 971 are 971
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 586, 628, 971, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(586, 628) = 184004
GCD(586, 628) = ( 586 x 628 ) / 184004
= 586 / 628
= 586
Step2:
LCM(2, 971) = 1942
GCD(2, 971) = ( 2 x 971 ) / 1942
= 2 / 971
= 2
Step3:
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
= 1 / 721
= 1
So, Greatest Common Divisor of 586, 628, 971, 721 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 586, 628, 971, 721
The greatest common divisor of numbers 586, 628, 971, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 586, 628, 971, 721 is 1.
1. What is the GCD of 586, 628, 971, 721?
GCD of given numbers 586, 628, 971, 721 is 1
2. How to calculate the greatest common divisor of 586, 628, 971, 721?
We can find the highest common divisor of 586, 628, 971, 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 586, 628, 971, 721 i.e 1.
3. How can I use the GCD of 586, 628, 971, 721Calculator?
Out the numbers 586, 628, 971, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.