GCD of 969, 975, 103 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 969, 975, 103 quickly. Get the easiest ways to solve the greatest common divisor of 969, 975, 103 i.e 1 in different methods as follows.
Given Input numbers are 969, 975, 103
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 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 103 :
The positive integer divisors of 103 that completely divides 103 are.
1, 103
GCD of numbers is the greatest common divisor
So, the GCD (969, 975, 103) = 1.
Given numbers are 969, 975, 103
The list of prime factors of all numbers are
Prime factors of 969 are 3 x 17 x 19
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 103 are 103
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 969, 975, 103 using LCM Formula
Given numbers are 969, 975, 103
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(969, 975) = 314925
GCD(969, 975) = ( 969 x 975 ) / 314925
= 969 / 975
= 969
Step2:
LCM(3, 103) = 309
GCD(3, 103) = ( 3 x 103 ) / 309
= 3 / 103
= 3
So, Greatest Common Divisor of 969, 975, 103 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 969, 975, 103
Given numbers are 969, 975, 103
The greatest common divisor of numbers 969, 975, 103 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 975, 103 is 1.
FAQs on GCD of 969, 975, 103 Calculator
1. What is the GCD of 969, 975, 103?
GCD of given numbers 969, 975, 103 is 1
2. How to calculate the greatest common divisor of 969, 975, 103?
We can find the highest common divisor of 969, 975, 103 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, 975, 103 i.e 1.
3. How can I use the GCD of 969, 975, 103Calculator?
Out the numbers 969, 975, 103 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.