GCD of 945, 352, 225 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 945, 352, 225 quickly. Get the easiest ways to solve the greatest common divisor of 945, 352, 225 i.e 1 in different methods as follows.
Given Input numbers are 945, 352, 225
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 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
GCD of numbers is the greatest common divisor
So, the GCD (945, 352, 225) = 1.
Given numbers are 945, 352, 225
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 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 225 are 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 945, 352, 225 using LCM Formula
Given numbers are 945, 352, 225
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(945, 352) = 332640
GCD(945, 352) = ( 945 x 352 ) / 332640
= 945 / 352
= 945
Step2:
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
= 1 / 225
= 1
So, Greatest Common Divisor of 945, 352, 225 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 945, 352, 225
Given numbers are 945, 352, 225
The greatest common divisor of numbers 945, 352, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 352, 225 is 1.
FAQs on GCD of 945, 352, 225 Calculator
1. What is the GCD of 945, 352, 225?
GCD of given numbers 945, 352, 225 is 1
2. How to calculate the greatest common divisor of 945, 352, 225?
We can find the highest common divisor of 945, 352, 225 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, 352, 225 i.e 1.
3. How can I use the GCD of 945, 352, 225Calculator?
Out the numbers 945, 352, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.