Online GCD Calculator is useful to find the GCD of 689, 921, 398, 971 quickly. Get the easiest ways to solve the greatest common divisor of 689, 921, 398, 971 i.e 1 in different methods as follows.
Given Input numbers are 689, 921, 398, 971
In the factoring method, we have to find the divisors of all numbers
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
GCD of numbers is the greatest common divisor
So, the GCD (689, 921, 398, 971) = 1.
Given numbers are 689, 921, 398, 971
The list of prime factors of all numbers are
Prime factors of 689 are 13 x 53
Prime factors of 921 are 3 x 307
Prime factors of 398 are 2 x 199
Prime factors of 971 are 971
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 689, 921, 398, 971
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(689, 921) = 634569
GCD(689, 921) = ( 689 x 921 ) / 634569
= 689 / 921
= 689
Step2:
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
= 1 / 398
= 1
Step3:
LCM(1, 971) = 971
GCD(1, 971) = ( 1 x 971 ) / 971
= 1 / 971
= 1
So, Greatest Common Divisor of 689, 921, 398, 971 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 689, 921, 398, 971
The greatest common divisor of numbers 689, 921, 398, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 921, 398, 971 is 1.
1. What is the GCD of 689, 921, 398, 971?
GCD of given numbers 689, 921, 398, 971 is 1
2. How to calculate the greatest common divisor of 689, 921, 398, 971?
We can find the highest common divisor of 689, 921, 398, 971 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 689, 921, 398, 971 i.e 1.
3. How can I use the GCD of 689, 921, 398, 971Calculator?
Out the numbers 689, 921, 398, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.