Online GCD Calculator is useful to find the GCD of 991, 931, 872, 462 quickly. Get the easiest ways to solve the greatest common divisor of 991, 931, 872, 462 i.e 1 in different methods as follows.
Given Input numbers are 991, 931, 872, 462
In the factoring method, we have to find the divisors of all numbers
Divisors of 991 :
The positive integer divisors of 991 that completely divides 991 are.
1, 991
Divisors of 931 :
The positive integer divisors of 931 that completely divides 931 are.
1, 7, 19, 49, 133, 931
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
GCD of numbers is the greatest common divisor
So, the GCD (991, 931, 872, 462) = 1.
Given numbers are 991, 931, 872, 462
The list of prime factors of all numbers are
Prime factors of 991 are 991
Prime factors of 931 are 7 x 7 x 19
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 462 are 2 x 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 991, 931, 872, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(991, 931) = 922621
GCD(991, 931) = ( 991 x 931 ) / 922621
= 991 / 931
= 991
Step2:
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
= 1 / 872
= 1
Step3:
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
= 1 / 462
= 1
So, Greatest Common Divisor of 991, 931, 872, 462 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 991, 931, 872, 462
The greatest common divisor of numbers 991, 931, 872, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 991, 931, 872, 462 is 1.
1. What is the GCD of 991, 931, 872, 462?
GCD of given numbers 991, 931, 872, 462 is 1
2. How to calculate the greatest common divisor of 991, 931, 872, 462?
We can find the highest common divisor of 991, 931, 872, 462 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 991, 931, 872, 462 i.e 1.
3. How can I use the GCD of 991, 931, 872, 462Calculator?
Out the numbers 991, 931, 872, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.