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GCD of 732, 226, 272, 175 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, 226, 272, 175 quickly. Get the easiest ways to solve the greatest common divisor of 732, 226, 272, 175 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 732, 226, 272, 175 with Factoring?

Given Input numbers are 732, 226, 272, 175

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 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175


GCD of numbers is the greatest common divisor

So, the GCD (732, 226, 272, 175) = 1.

Find GCD of 732, 226, 272, 175 using Prime Factorization

Given numbers are 732, 226, 272, 175

The list of prime factors of all numbers are

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

Prime factors of 226 are 2 x 113

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 175 are 5 x 5 x 7

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

Steps to Calculate GCD of 732, 226, 272, 175 using LCM Formula

Given numbers are 732, 226, 272, 175

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

Apply this formula for all numbers.

Step1:

LCM(732, 226) = 82716

GCD(732, 226) = ( 732 x 226 ) / 82716

= 732 / 226

= 732


Step2:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2


Step3:

LCM(2, 175) = 350

GCD(2, 175) = ( 2 x 175 ) / 350

= 2 / 175

= 2


So, Greatest Common Divisor of 732, 226, 272, 175 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 732, 226, 272, 175

Given numbers are 732, 226, 272, 175
The greatest common divisor of numbers 732, 226, 272, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 226, 272, 175 is 1.

FAQs on GCD of 732, 226, 272, 175 Calculator

1. What is the GCD of 732, 226, 272, 175?

GCD of given numbers 732, 226, 272, 175 is 1


2. How to calculate the greatest common divisor of 732, 226, 272, 175?

We can find the highest common divisor of 732, 226, 272, 175 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, 226, 272, 175 i.e 1.


3. How can I use the GCD of 732, 226, 272, 175Calculator?

Out the numbers 732, 226, 272, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.