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GCD of 471, 198, 225, 965 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 471, 198, 225, 965 quickly. Get the easiest ways to solve the greatest common divisor of 471, 198, 225, 965 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 471, 198, 225, 965 with Factoring?

Given Input numbers are 471, 198, 225, 965

In the factoring method, we have to find the divisors of all numbers

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965


GCD of numbers is the greatest common divisor

So, the GCD (471, 198, 225, 965) = 1.

Find GCD of 471, 198, 225, 965 using Prime Factorization

Given numbers are 471, 198, 225, 965

The list of prime factors of all numbers are

Prime factors of 471 are 3 x 157

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 965 are 5 x 193

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 471, 198, 225, 965 using LCM Formula

Given numbers are 471, 198, 225, 965

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(471, 198) = 31086

GCD(471, 198) = ( 471 x 198 ) / 31086

= 471 / 198

= 471


Step2:

LCM(3, 225) = 225

GCD(3, 225) = ( 3 x 225 ) / 225

= 3 / 225

= 3


Step3:

LCM(3, 965) = 2895

GCD(3, 965) = ( 3 x 965 ) / 2895

= 3 / 965

= 3


So, Greatest Common Divisor of 471, 198, 225, 965 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 471, 198, 225, 965

Given numbers are 471, 198, 225, 965
The greatest common divisor of numbers 471, 198, 225, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 198, 225, 965 is 1.

FAQs on GCD of 471, 198, 225, 965 Calculator

1. What is the GCD of 471, 198, 225, 965?

GCD of given numbers 471, 198, 225, 965 is 1


2. How to calculate the greatest common divisor of 471, 198, 225, 965?

We can find the highest common divisor of 471, 198, 225, 965 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 471, 198, 225, 965 i.e 1.


3. How can I use the GCD of 471, 198, 225, 965Calculator?

Out the numbers 471, 198, 225, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.