Online GCD Calculator is useful to find the GCD of 991, 765, 975, 897 quickly. Get the easiest ways to solve the greatest common divisor of 991, 765, 975, 897 i.e 1 in different methods as follows.
Given Input numbers are 991, 765, 975, 897
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 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
GCD of numbers is the greatest common divisor
So, the GCD (991, 765, 975, 897) = 1.
Given numbers are 991, 765, 975, 897
The list of prime factors of all numbers are
Prime factors of 991 are 991
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 897 are 3 x 13 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 991, 765, 975, 897
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(991, 765) = 758115
GCD(991, 765) = ( 991 x 765 ) / 758115
= 991 / 765
= 991
Step2:
LCM(1, 975) = 975
GCD(1, 975) = ( 1 x 975 ) / 975
= 1 / 975
= 1
Step3:
LCM(1, 897) = 897
GCD(1, 897) = ( 1 x 897 ) / 897
= 1 / 897
= 1
So, Greatest Common Divisor of 991, 765, 975, 897 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 991, 765, 975, 897
The greatest common divisor of numbers 991, 765, 975, 897 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 991, 765, 975, 897 is 1.
1. What is the GCD of 991, 765, 975, 897?
GCD of given numbers 991, 765, 975, 897 is 1
2. How to calculate the greatest common divisor of 991, 765, 975, 897?
We can find the highest common divisor of 991, 765, 975, 897 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, 765, 975, 897 i.e 1.
3. How can I use the GCD of 991, 765, 975, 897Calculator?
Out the numbers 991, 765, 975, 897 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.