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GCD of 732, 117, 225, 223 Calculator

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


Online GCD Calculator is useful to find the GCD of 732, 117, 225, 223 quickly. Get the easiest ways to solve the greatest common divisor of 732, 117, 225, 223 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 732, 117, 225, 223 with Factoring?

Given Input numbers are 732, 117, 225, 223

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

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 223 :

The positive integer divisors of 223 that completely divides 223 are.

1, 223


GCD of numbers is the greatest common divisor

So, the GCD (732, 117, 225, 223) = 1.

Find GCD of 732, 117, 225, 223 using Prime Factorization

Given numbers are 732, 117, 225, 223

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 117 are 3 x 3 x 13

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

Prime factors of 223 are 223

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

Steps to Calculate GCD of 732, 117, 225, 223 using LCM Formula

Given numbers are 732, 117, 225, 223

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

Apply this formula for all numbers.

Step1:

LCM(732, 117) = 28548

GCD(732, 117) = ( 732 x 117 ) / 28548

= 732 / 117

= 732


Step2:

LCM(3, 225) = 225

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

= 3 / 225

= 3


Step3:

LCM(3, 223) = 669

GCD(3, 223) = ( 3 x 223 ) / 669

= 3 / 223

= 3


So, Greatest Common Divisor of 732, 117, 225, 223 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 732, 117, 225, 223

Given numbers are 732, 117, 225, 223
The greatest common divisor of numbers 732, 117, 225, 223 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 117, 225, 223 is 1.

FAQs on GCD of 732, 117, 225, 223 Calculator

1. What is the GCD of 732, 117, 225, 223?

GCD of given numbers 732, 117, 225, 223 is 1


2. How to calculate the greatest common divisor of 732, 117, 225, 223?

We can find the highest common divisor of 732, 117, 225, 223 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 732, 117, 225, 223 i.e 1.


3. How can I use the GCD of 732, 117, 225, 223Calculator?

Out the numbers 732, 117, 225, 223 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.