GCD of 954, 966, 945 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 954, 966, 945 quickly. Get the easiest ways to solve the greatest common divisor of 954, 966, 945 i.e 3 in different methods as follows.
Given Input numbers are 954, 966, 945
In the factoring method, we have to find the divisors of all numbers
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
GCD of numbers is the greatest common divisor
So, the GCD (954, 966, 945) = 3.
Given numbers are 954, 966, 945
The list of prime factors of all numbers are
Prime factors of 954 are 2 x 3 x 3 x 53
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 954, 966, 945 is 3.
Steps to Calculate GCD of 954, 966, 945 using LCM Formula
Given numbers are 954, 966, 945
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(954, 966) = 153594
GCD(954, 966) = ( 954 x 966 ) / 153594
= 954 / 966
= 954
Step2:
LCM(6, 945) = 1890
GCD(6, 945) = ( 6 x 945 ) / 1890
= 6 / 945
= 6
So, Greatest Common Divisor of 954, 966, 945 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 954, 966, 945
Given numbers are 954, 966, 945
The greatest common divisor of numbers 954, 966, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 966, 945 is 3.
FAQs on GCD of 954, 966, 945 Calculator
1. What is the GCD of 954, 966, 945?
GCD of given numbers 954, 966, 945 is 3
2. How to calculate the greatest common divisor of 954, 966, 945?
We can find the highest common divisor of 954, 966, 945 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 954, 966, 945 i.e 3.
3. How can I use the GCD of 954, 966, 945Calculator?
Out the numbers 954, 966, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.