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GCD of 731, 904, 492, 253 Calculator

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


Online GCD Calculator is useful to find the GCD of 731, 904, 492, 253 quickly. Get the easiest ways to solve the greatest common divisor of 731, 904, 492, 253 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 731, 904, 492, 253 with Factoring?

Given Input numbers are 731, 904, 492, 253

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

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253


GCD of numbers is the greatest common divisor

So, the GCD (731, 904, 492, 253) = 1.

Find GCD of 731, 904, 492, 253 using Prime Factorization

Given numbers are 731, 904, 492, 253

The list of prime factors of all numbers are

Prime factors of 731 are 17 x 43

Prime factors of 904 are 2 x 2 x 2 x 113

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 253 are 11 x 23

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

Steps to Calculate GCD of 731, 904, 492, 253 using LCM Formula

Given numbers are 731, 904, 492, 253

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

Apply this formula for all numbers.

Step1:

LCM(731, 904) = 660824

GCD(731, 904) = ( 731 x 904 ) / 660824

= 731 / 904

= 731


Step2:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1


Step3:

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

= 1 / 253

= 1


So, Greatest Common Divisor of 731, 904, 492, 253 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 731, 904, 492, 253

Given numbers are 731, 904, 492, 253
The greatest common divisor of numbers 731, 904, 492, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 731, 904, 492, 253 is 1.

FAQs on GCD of 731, 904, 492, 253 Calculator

1. What is the GCD of 731, 904, 492, 253?

GCD of given numbers 731, 904, 492, 253 is 1


2. How to calculate the greatest common divisor of 731, 904, 492, 253?

We can find the highest common divisor of 731, 904, 492, 253 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 731, 904, 492, 253 i.e 1.


3. How can I use the GCD of 731, 904, 492, 253Calculator?

Out the numbers 731, 904, 492, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.