GCD of 969, 289, 484, 797 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 969, 289, 484, 797 quickly. Get the easiest ways to solve the greatest common divisor of 969, 289, 484, 797 i.e 1 in different methods as follows.
Given Input numbers are 969, 289, 484, 797
In the factoring method, we have to find the divisors of all numbers
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 797 :
The positive integer divisors of 797 that completely divides 797 are.
1, 797
GCD of numbers is the greatest common divisor
So, the GCD (969, 289, 484, 797) = 1.
Given numbers are 969, 289, 484, 797
The list of prime factors of all numbers are
Prime factors of 969 are 3 x 17 x 19
Prime factors of 289 are 17 x 17
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 797 are 797
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 969, 289, 484, 797 using LCM Formula
Given numbers are 969, 289, 484, 797
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(969, 289) = 16473
GCD(969, 289) = ( 969 x 289 ) / 16473
= 969 / 289
= 969
Step2:
LCM(17, 484) = 8228
GCD(17, 484) = ( 17 x 484 ) / 8228
= 17 / 484
= 17
Step3:
LCM(1, 797) = 797
GCD(1, 797) = ( 1 x 797 ) / 797
= 1 / 797
= 1
So, Greatest Common Divisor of 969, 289, 484, 797 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 969, 289, 484, 797
Given numbers are 969, 289, 484, 797
The greatest common divisor of numbers 969, 289, 484, 797 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 289, 484, 797 is 1.
FAQs on GCD of 969, 289, 484, 797 Calculator
1. What is the GCD of 969, 289, 484, 797?
GCD of given numbers 969, 289, 484, 797 is 1
2. How to calculate the greatest common divisor of 969, 289, 484, 797?
We can find the highest common divisor of 969, 289, 484, 797 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 969, 289, 484, 797 i.e 1.
3. How can I use the GCD of 969, 289, 484, 797Calculator?
Out the numbers 969, 289, 484, 797 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.