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GCD of 169, 731, 691, 460 Calculator

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


Online GCD Calculator is useful to find the GCD of 169, 731, 691, 460 quickly. Get the easiest ways to solve the greatest common divisor of 169, 731, 691, 460 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 169, 731, 691, 460 with Factoring?

Given Input numbers are 169, 731, 691, 460

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

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 731 :

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

1, 17, 43, 731

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460


GCD of numbers is the greatest common divisor

So, the GCD (169, 731, 691, 460) = 1.

Find GCD of 169, 731, 691, 460 using Prime Factorization

Given numbers are 169, 731, 691, 460

The list of prime factors of all numbers are

Prime factors of 169 are 13 x 13

Prime factors of 731 are 17 x 43

Prime factors of 691 are 691

Prime factors of 460 are 2 x 2 x 5 x 23

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

Steps to Calculate GCD of 169, 731, 691, 460 using LCM Formula

Given numbers are 169, 731, 691, 460

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

Apply this formula for all numbers.

Step1:

LCM(169, 731) = 123539

GCD(169, 731) = ( 169 x 731 ) / 123539

= 169 / 731

= 169


Step2:

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

= 1 / 691

= 1


Step3:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1


So, Greatest Common Divisor of 169, 731, 691, 460 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 169, 731, 691, 460

Given numbers are 169, 731, 691, 460
The greatest common divisor of numbers 169, 731, 691, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 169, 731, 691, 460 is 1.

FAQs on GCD of 169, 731, 691, 460 Calculator

1. What is the GCD of 169, 731, 691, 460?

GCD of given numbers 169, 731, 691, 460 is 1


2. How to calculate the greatest common divisor of 169, 731, 691, 460?

We can find the highest common divisor of 169, 731, 691, 460 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 169, 731, 691, 460 i.e 1.


3. How can I use the GCD of 169, 731, 691, 460Calculator?

Out the numbers 169, 731, 691, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.