GCD of 945, 117, 75 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 945, 117, 75 quickly. Get the easiest ways to solve the greatest common divisor of 945, 117, 75 i.e 3 in different methods as follows.
Given Input numbers are 945, 117, 75
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 75 :
The positive integer divisors of 75 that completely divides 75 are.
1, 3, 5, 15, 25, 75
GCD of numbers is the greatest common divisor
So, the GCD (945, 117, 75) = 3.
Given numbers are 945, 117, 75
The list of prime factors of all numbers are
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 117 are 3 x 3 x 13
Prime factors of 75 are 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 945, 117, 75 is 3.
Steps to Calculate GCD of 945, 117, 75 using LCM Formula
Given numbers are 945, 117, 75
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(945, 117) = 12285
GCD(945, 117) = ( 945 x 117 ) / 12285
= 945 / 117
= 945
Step2:
LCM(9, 75) = 225
GCD(9, 75) = ( 9 x 75 ) / 225
= 9 / 75
= 9
So, Greatest Common Divisor of 945, 117, 75 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 945, 117, 75
Given numbers are 945, 117, 75
The greatest common divisor of numbers 945, 117, 75 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 117, 75 is 3.
FAQs on GCD of 945, 117, 75 Calculator
1. What is the GCD of 945, 117, 75?
GCD of given numbers 945, 117, 75 is 3
2. How to calculate the greatest common divisor of 945, 117, 75?
We can find the highest common divisor of 945, 117, 75 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 945, 117, 75 i.e 3.
3. How can I use the GCD of 945, 117, 75Calculator?
Out the numbers 945, 117, 75 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.