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GCD of 491, 724, 69 Calculator

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


Online GCD Calculator is useful to find the GCD of 491, 724, 69 quickly. Get the easiest ways to solve the greatest common divisor of 491, 724, 69 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 491, 724, 69 with Factoring?

Given Input numbers are 491, 724, 69

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

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 69 :

The positive integer divisors of 69 that completely divides 69 are.

1, 3, 23, 69


GCD of numbers is the greatest common divisor

So, the GCD (491, 724, 69) = 1.

Find GCD of 491, 724, 69 using Prime Factorization

Given numbers are 491, 724, 69

The list of prime factors of all numbers are

Prime factors of 491 are 491

Prime factors of 724 are 2 x 2 x 181

Prime factors of 69 are 3 x 23

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

Steps to Calculate GCD of 491, 724, 69 using LCM Formula

Given numbers are 491, 724, 69

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

Apply this formula for all numbers.

Step1:

LCM(491, 724) = 355484

GCD(491, 724) = ( 491 x 724 ) / 355484

= 491 / 724

= 491


Step2:

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

= 1 / 69

= 1


So, Greatest Common Divisor of 491, 724, 69 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 491, 724, 69

Given numbers are 491, 724, 69
The greatest common divisor of numbers 491, 724, 69 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 491, 724, 69 is 1.

FAQs on GCD of 491, 724, 69 Calculator

1. What is the GCD of 491, 724, 69?

GCD of given numbers 491, 724, 69 is 1


2. How to calculate the greatest common divisor of 491, 724, 69?

We can find the highest common divisor of 491, 724, 69 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 491, 724, 69 i.e 1.


3. How can I use the GCD of 491, 724, 69Calculator?

Out the numbers 491, 724, 69 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.