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GCD of 733, 752, 492, 916 Calculator

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


Online GCD Calculator is useful to find the GCD of 733, 752, 492, 916 quickly. Get the easiest ways to solve the greatest common divisor of 733, 752, 492, 916 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 733, 752, 492, 916 with Factoring?

Given Input numbers are 733, 752, 492, 916

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

Divisors of 733 :

The positive integer divisors of 733 that completely divides 733 are.

1, 733

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916


GCD of numbers is the greatest common divisor

So, the GCD (733, 752, 492, 916) = 1.

Find GCD of 733, 752, 492, 916 using Prime Factorization

Given numbers are 733, 752, 492, 916

The list of prime factors of all numbers are

Prime factors of 733 are 733

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

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

Prime factors of 916 are 2 x 2 x 229

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

Steps to Calculate GCD of 733, 752, 492, 916 using LCM Formula

Given numbers are 733, 752, 492, 916

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

Apply this formula for all numbers.

Step1:

LCM(733, 752) = 551216

GCD(733, 752) = ( 733 x 752 ) / 551216

= 733 / 752

= 733


Step2:

LCM(1, 492) = 492

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

= 1 / 492

= 1


Step3:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1


So, Greatest Common Divisor of 733, 752, 492, 916 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 733, 752, 492, 916

Given numbers are 733, 752, 492, 916
The greatest common divisor of numbers 733, 752, 492, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 733, 752, 492, 916 is 1.

FAQs on GCD of 733, 752, 492, 916 Calculator

1. What is the GCD of 733, 752, 492, 916?

GCD of given numbers 733, 752, 492, 916 is 1


2. How to calculate the greatest common divisor of 733, 752, 492, 916?

We can find the highest common divisor of 733, 752, 492, 916 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 733, 752, 492, 916 i.e 1.


3. How can I use the GCD of 733, 752, 492, 916Calculator?

Out the numbers 733, 752, 492, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.