GCD of 297, 120, 954 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 297, 120, 954 quickly. Get the easiest ways to solve the greatest common divisor of 297, 120, 954 i.e 3 in different methods as follows.
Given Input numbers are 297, 120, 954
In the factoring method, we have to find the divisors of all numbers
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
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
GCD of numbers is the greatest common divisor
So, the GCD (297, 120, 954) = 3.
Given numbers are 297, 120, 954
The list of prime factors of all numbers are
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 954 are 2 x 3 x 3 x 53
The highest common occurrence is 31
Therefore, GCD of 297, 120, 954 is 3.
Steps to Calculate GCD of 297, 120, 954 using LCM Formula
Given numbers are 297, 120, 954
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(297, 120) = 11880
GCD(297, 120) = ( 297 x 120 ) / 11880
= 297 / 120
= 297
Step2:
LCM(3, 954) = 954
GCD(3, 954) = ( 3 x 954 ) / 954
= 3 / 954
= 3
So, Greatest Common Divisor of 297, 120, 954 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 297, 120, 954
Given numbers are 297, 120, 954
The greatest common divisor of numbers 297, 120, 954 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 120, 954 is 3.
FAQs on GCD of 297, 120, 954 Calculator
1. What is the GCD of 297, 120, 954?
GCD of given numbers 297, 120, 954 is 3
2. How to calculate the greatest common divisor of 297, 120, 954?
We can find the highest common divisor of 297, 120, 954 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 297, 120, 954 i.e 3.
3. How can I use the GCD of 297, 120, 954Calculator?
Out the numbers 297, 120, 954 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.