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GCD of 924, 413, 724, 993 Calculator

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


Online GCD Calculator is useful to find the GCD of 924, 413, 724, 993 quickly. Get the easiest ways to solve the greatest common divisor of 924, 413, 724, 993 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 924, 413, 724, 993 with Factoring?

Given Input numbers are 924, 413, 724, 993

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993


GCD of numbers is the greatest common divisor

So, the GCD (924, 413, 724, 993) = 1.

Find GCD of 924, 413, 724, 993 using Prime Factorization

Given numbers are 924, 413, 724, 993

The list of prime factors of all numbers are

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 413 are 7 x 59

Prime factors of 724 are 2 x 2 x 181

Prime factors of 993 are 3 x 331

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

Steps to Calculate GCD of 924, 413, 724, 993 using LCM Formula

Given numbers are 924, 413, 724, 993

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

Apply this formula for all numbers.

Step1:

LCM(924, 413) = 54516

GCD(924, 413) = ( 924 x 413 ) / 54516

= 924 / 413

= 924


Step2:

LCM(7, 724) = 5068

GCD(7, 724) = ( 7 x 724 ) / 5068

= 7 / 724

= 7


Step3:

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

= 1 / 993

= 1


So, Greatest Common Divisor of 924, 413, 724, 993 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 924, 413, 724, 993

Given numbers are 924, 413, 724, 993
The greatest common divisor of numbers 924, 413, 724, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 413, 724, 993 is 1.

FAQs on GCD of 924, 413, 724, 993 Calculator

1. What is the GCD of 924, 413, 724, 993?

GCD of given numbers 924, 413, 724, 993 is 1


2. How to calculate the greatest common divisor of 924, 413, 724, 993?

We can find the highest common divisor of 924, 413, 724, 993 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 924, 413, 724, 993 i.e 1.


3. How can I use the GCD of 924, 413, 724, 993Calculator?

Out the numbers 924, 413, 724, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.