Online GCD Calculator is useful to find the GCD of 971, 769, 829, 231 quickly. Get the easiest ways to solve the greatest common divisor of 971, 769, 829, 231 i.e 1 in different methods as follows.
Given Input numbers are 971, 769, 829, 231
In the factoring method, we have to find the divisors of all numbers
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
Divisors of 769 :
The positive integer divisors of 769 that completely divides 769 are.
1, 769
Divisors of 829 :
The positive integer divisors of 829 that completely divides 829 are.
1, 829
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
GCD of numbers is the greatest common divisor
So, the GCD (971, 769, 829, 231) = 1.
Given numbers are 971, 769, 829, 231
The list of prime factors of all numbers are
Prime factors of 971 are 971
Prime factors of 769 are 769
Prime factors of 829 are 829
Prime factors of 231 are 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 971, 769, 829, 231
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(971, 769) = 746699
GCD(971, 769) = ( 971 x 769 ) / 746699
= 971 / 769
= 971
Step2:
LCM(1, 829) = 829
GCD(1, 829) = ( 1 x 829 ) / 829
= 1 / 829
= 1
Step3:
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
= 1 / 231
= 1
So, Greatest Common Divisor of 971, 769, 829, 231 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 971, 769, 829, 231
The greatest common divisor of numbers 971, 769, 829, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 769, 829, 231 is 1.
1. What is the GCD of 971, 769, 829, 231?
GCD of given numbers 971, 769, 829, 231 is 1
2. How to calculate the greatest common divisor of 971, 769, 829, 231?
We can find the highest common divisor of 971, 769, 829, 231 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 971, 769, 829, 231 i.e 1.
3. How can I use the GCD of 971, 769, 829, 231Calculator?
Out the numbers 971, 769, 829, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.